Sunday, May 24, 2020
Expected Changes and Growth in the Nursing Field Ã¢â¬Å"On March 23, 2010, President Obama signed the Affordable Care Act. The law put in place comprehensive health insurance reforms that put consumers back in charge of their health care. A new wave of powerful evidence points to one clear conclusion: The Affordable Care Act is working to make health care more affordable, accessible and of a higher quality, for families, seniors, businesses, and taxpayers alikeÃ¢â¬ . Ã¢â¬Å"By creating incentives for integrated care delivery models and paying for coordination and quality of care, the law seeks to rebalance the systemÃ¢â¬â¢s resource allocation and reward the value of care over volume of careÃ¢â¬ (Secretary, 2013). Some of the ways that the Affordable Care Act will be successful is by implementing the concepts of continuity of care with the introduction of accountable care organizations, medical homes, and nurse managed health clinics. Due to these new organizations, this means there will be significant changes and growth i n the nursing field. Ã¢â¬Å"Registered nurses are fundamental to the critical shift needed in health services delivery, with the goal of transforming the current Ã¢â¬Å"sick careÃ¢â¬ system into a true Ã¢â¬Å"health careÃ¢â¬ systemÃ¢â¬ (Key provisions related to nursing, 2010). There will be an increased need for nursing in these new areas and a decrease in the number of nurses needed in the acute care settings. Ã¢â¬Å"The new law provides incentives for physicians to join together to form Accountable CareShow MoreRelatedNursing Shortage: Causes, Concerns, and Impacts1839 Words Ã |Ã 7 PagesÃ¯ » ¿Nursing Shortage: As many people in the United States are increasingly desperate for an employment opportunity, the nursing field or profession continues to have a huge need for staff. According to studies by employment services, the nursing profession is regularly ranked as one of the hot hiring sectors of the coming decade. Nonetheless, the supply of staff in this field seems not to catch up with the demand for nurses despite of the increased rate of unemployment. The need for more nursesRead MoreDevelopment of Nursing Practice in the Past Two Centuries1654 Words Ã |Ã 7 PagesÃ¯ » ¿The Nursing Practice: Development of Nursing Practice in the Past Two Centuries: Similar to other professions, the nursing practice has developed significantly in the previous two centuries. The development is evident in the delivery of care that is currently dependent on a range of professionals required to work together. The need for diverse number of professionals in modern healthcare settings is for the effective functioning of the practice at the highest level that leads to the provisionRead MoreThe Medical Field At A Very Young Age945 Words Ã |Ã 4 Pagesmedical field at a very young age. Since then I have strived to achieve a career in this direction. When I began to learn more about nursing, I knew there was nothing else I d rather purse. A Registered Nurse (RN) is a nurse who graduated from a nursing program and has passed a national licensing exam to obtain a nursing license. An RN s scope of practice is determined by local legislation governing nurses, and usually regulated by a professional body or council. This particular type of nursing includesR ead MoreNursing Is One Of The Oldest Professions In The World,924 Words Ã |Ã 4 PagesNursing is one of the oldest professions in the world, dating back to the beginning of time, where much wasnÃ¢â¬â¢t known about the human body, diseases and medications. Years later, nursing is still one of the most popular and necessary professions in the world. By definition, nursing is Ã¢â¬Å"the protection, promotion, and optimization of health and abilitiesÃ¢â¬ , e.g. (American Nursing Association, 2017). Nurses are a vital portion of a health care facility, as they perform many numerous tasks. Some tasksRead MoreHealthcare Shortage1426 Words Ã |Ã 6 Pagesthe United States. Although some researchers argue that there is no shortage in the physician assistant (PA) and nursing fields, there is a shortage of primary care health professionals in the health care system of the United States. The shortage in the health care system in the United States is terrible, specifically in the nursing field. First of all, there is a deficiency of nursing empowerment. Laschinger, Read, Willk, and Finegan (2014) have offered a compelling argument for this view: Ã¢â¬Å"theRead MoreDoppler Ultrasound in Obstetrics Essay958 Words Ã |Ã 4 PagesIntroduction An understanding of nursing informatics helps nurses to implement safe, reliable care to their patients. The integration of information, data and knowledge nurses are enabled to be good decision makers (McGonigle, 2012). Labor and delivery nursing have benefited from integrating technology into the care of the mother and fetus. The perinatal nurse has a vast array of technologies that assist in establishing trust with parents during pregnancy. Doppler ultrasound is utilized during pregnancyRead MoreThe Importance Of Nurses And Medical Field984 Words Ã |Ã 4 Pages There has been a great change in the education, a large increase in traveling nurses, and the technology that is helping the nurse and medical field. These large changes are helping the medical field become a better place, and hence improving many hospitals all over the country. These changes have become a necessity for the medical field to become better, and improve patient security as well as their satisfaction with me dical attention. There have been several changes that have occurred to makeRead MoreVision for the Future of Nursing1181 Words Ã |Ã 5 PagesVision for the future of nursing Currently, health care in the US has been made accessible and affordable to everyone, as evidenced by the increase in the number of patients in the health care system. The nursing profession is already facing numerous challenges to deliver good quality and safe patient care. Therefore, there is a need for growth in remodeling the nursing profession to meet the high demand of an aging population with more complex needs. The nurses have to quickly adapt to a newRead MoreA Career as a Registered Nurse Essay938 Words Ã |Ã 4 Pageswho enjoys helping other people. They practically have the responsibility for many peoples lives. WhatÃ¢â¬â¢s interesting about a Registered Nurse is that they get to learn about all the parts of the human body. A Registered Nurse works in the medical field and needs to be ready with anything that comes their way. There could be a sudden death, some kind of medical issue that pops up, and even a patient just falls over and hurt themselves. As a Registered N urse they need to be able to deal with bloodRead MoreApplication Of A Registered Nurse892 Words Ã |Ã 4 Pagesproper training and degree. Aspiring RNs can choose between an associate degree in nursing, bachelor s of science in nursing degree or a nursing diploma. Both online and on-campus schools offer RN training courses. An associate s degree in nursing can get you on the job faster than other degree programs. It allows graduates to apply for entry-level jobs and jump into the weeds right away. Bachelor s degrees in nursing (BSN) come in a few flavors. The traditional BSN typically takes four years to complete
Wednesday, May 13, 2020
Nutrition in Mountain Biking I. Waterworld 1. Muscles produce 30-100 times more heat while riding 2. Water doesnt supply calories, minerals, or vitamins A. But it is used for almost every body function B. 55-65% of body weight is water 3. When losing a quart of fluid heart beats 8 more times a minute 4. Before a long ride start hyperhydrating 1 day in advance 5. Do drinking strategies during your training II. Rehydrate 1. Drink alot after a ride 2. Sports drinks replenish the best 3. Eat alot of salty snacks A. Sodium makes your blood like a sponge B. meals contain more sodium naturally than sports bars III. Diet helps 1. 60% of your daily fluid comes from food 2. Fruit and vegatables are great fluid sources 3. Foods highÃ¢â¬ ¦show more contentÃ¢â¬ ¦Drink lots of water every day, but before a long ride or a race, start hyper hydrating twenty four hours in advance. Avoid drinks containing alcohol or caffeine because they both make the body excrete more water. If you can not meet your calorie needs, use sports drinks, recovery drinks or other liquid supplements. Try to step fluid lost to sweat, practice drinking strategies during your training. Determine how much sweat you lose by weighing yourself before and after your rides Every pound lost equals sixteen ounces of fluids. It takes practice to drink more than a quart of fluid per hour without getting cramps or internal discomfort. A hydration bladder system such as Camelbak, provides water and will help you drink more (Walsh 94). After you have ridden for a while drink plenty of fluids. What you drink after the ride can make a difference. Coyle also compared the effects of drinking nearly two liters of water, sport drinks, or diet cola in athletes two hours after a workout, the results showed diet cola replenishes 54% of the fluids lost; water, 64%; and sport drinks, 69%. Before or while ridin g you should eat salty snacks. Sodium makes your blood like a sponge so you can absorb more water and excrete less. Athletes such as cyclists should also drink plentiful with meals and snacks, because food naturally contains many times more sodium than soft drinks or energyShow MoreRelatedEssay1064 Words Ã |Ã 5 Pagesdescriptions of gastrointestinal related distress.....if you are squeamish about such issues, best to skip this one. ;0)Ã Ã Aw snap. Its 3 a.m. and I am up tossing and turning in bed. One week exactly to my next race and Im ruminating on race day prep, nutrition, strategy and results. I slide out of bed, grab a banana and a sip of water and sit in my kitchen for a few minutes relishing in the serenityÃ of the early morning. I can hear the frogs croaking on the nearby pond, andÃ I try to quiet my mind beforeRead MoreOur First Five Adventure And Fitness1797 Words Ã |Ã 8 Pagestreatments. In the classic sense of a destination spa Gwinganna offers wellness counseling with naturopathic treatments and physical fitness education. The Gwinganna lifestyle retreat is a true retreat and the minimum guest age is 18. Diet and nutrition education is offered and all meals provided are prepared with a fresh, local and organic philosophy. Our fifth selection in the adventure and fitness category offers an exotic cultural location. The Fordoun Hotel Spa is found in South AfricaRead MoreCoca Cola Vs. Pepsi Cola Essay1174 Words Ã |Ã 5 PagesRedefining Itself, Rejuvenation, Refreshment, Health and Nutrition, Replenishment. Pepsi advertising focuses on: Slandering Coke, Youth, Market Segment. For years, Coca-Cola has created a family-friendly image by utilizing the polar bear and Santa as its identifier in their advertising campaigns. Pepsi, on the other hand, positioned itself as the the choice of a new generation by showing people doing different things such as dirt biking and snowboarding, as well as through the use of celebrityRead MoreC228-Community Health Nursing-Task 1 Essay4703 Words Ã |Ã 19 PagesC228-Community Health Nursing-Task 1 Western Governors University Identification of Community Along the northern-end of UtahÃ¢â¬â¢s Wasatch Front is a scenic region of land known as Weber County. This county ranges from the peaks of the Wasatch Mountains into a portion of the Great Salt Lake of the lower valley. The Weber and Ogden rivers and their tributaries run through its valleys (Weber County, 2015). Weber County is the second smallest county in land mass and has the fourth largest populationRead MoreDevelopment And Environmental Management : Csc Fall 20142521 Words Ã |Ã 11 Pagesseries of papers where he stated that acid precirocation could affect the buffering capacity of lakes, soils and bedrock. He and a colleague F.J.H. Mackereth, while working in EnglandÃ¢â¬â¢s Lake District, discovered a number of acidified turns or small mountain lakes fed by rainwater. They asserted that the acifdification of the water was caused by air pollution contaminates. Acid rain as a worldwide threat began when Swedish researcher Dr. Svante Oden theorized in the 1960s that pollution blowing fromRead MoreEssay on Nestle Marketing Plan3102 Words Ã |Ã 13 PagesCustomers Ã¢â¬â Customers Analysis 11 Core Competency 12 Apparent Marketing Strategy 13 Recommendations for Strategy Re-vamp 15 Bibliography 17 INTRODUCTION Nestle - Company Overview Ã¢â¬Å"Good Food, Good LifeÃ¢â¬ Ã¢â¬â NestlÃ © is today worldÃ¢â¬â¢s leading health, nutrition and wellness company (Nestle, 2012). NestlÃ ©Ã¢â¬â¢s mission is to provide the best tasting and nutritious choices in extensive range of beverages and food categories to its consumers all over the world. Today Nestle has 67 brands of bottled water, producedRead MoreEssay about C2294807 Words Ã |Ã 20 Pages2001-2011, there was an average of one rabid animal per year (Georgia Department of Public Health: North Central Health District website, 2013). Between 2007-2011, there were 42 vector borne or zoonotic diseases reported in the county, with Rocky Mountain spotted fever (12), Lyme disease (10), and rabies (8) being the most frequently reported (Georgia Department of Public Health: North Central Health District website, 2013). According to the Hammond (2015), Macon-Bibb County ranked 2nd in the stateRead MoreBus 620 Final Paper3313 Words Ã |Ã 14 Pagesmedicine manufacture. This company is also known for having social involvement by their own foundation. The foundations are there to promote science, education, and social activities. The group also has competencies in the fields of health care, nutrition, and high-tech materials. The company wants to be able to help improve the quality of life for others. Bayer also creates value through innovation, growth and high earning power. The company wants to stay committed to their principles while maintainingRead MorePersonal Financial Planning Assignment 16789 Words Ã |Ã 28 Pagesof becoming disabled is to purchase disability insurance, the family should first consider whether the risk of Maria becoming disabled represents a truly unsupportable risk. Of course, Maria should avoid engaging in highly risky activities (mountain biking) that fall outside daily tasks (driving) to prevent to an extent the risk of becoming disabled. Disability Daniel This is a risk for the Joneses because it involves the possibility of a significant financial loss, due to the fact that DanielRead MoreCabo San Viejo: Rewarding Loyalty8698 Words Ã |Ã 35 PagesSpa Finder, Departures, Gourmet, and the Mobile Traveler Guide. Although the CaboDaySpas lacked the distinguished history of the Palm Springs property, they, too, were well regarded. Located on 150 acres in the foothills of the San Bernardino Mountains, Cabo San ViejoÃ¢â¬â¢s Palm Springs location accommodated a maximum of 288 guests in adobe cottages set on beautifully landscaped grounds. Over the years, facilities had expanded to include an air-conditioned, 100,000square-foot spa complex; a 4,200-square-foot
Wednesday, May 6, 2020
Is to develop a foremost business owner of the traveling agency for the individual of the age range from about 20 to 30 year old. Lucky Inc. Will be devoted to establish stronger relationship within their clients via extensive lesson of how to treat guest and sever them the best service, and would like the company to well popular among the clients and other publics as the most popular tourist agency in the Ideal area. We will write a custom essay sample on The goal of Lucky Inc. or any similar topic only for you Order Now The main focus of the firm would be to gradually develop, and become successful by the first few years of operations. Our main goal would be to provide an excellent professional facility through demonstrating an adequate understanding of the places that individual would like to travel to and adventurous events that will be held. On an industrial report stated that the biggest disparagement of the variety of customers that has been to the tourist companies that already exists Ã¢â¬Å"know nothing about their products, they Just open the catalogue and read,Ã¢â¬ to quote one of many disappointed travelers (Blackwell, 2008, p. 332). To make the most of over the knowledge and skills we gained in the Lucky Inc. Apparel store, staff would to both educate and instruct the customers to the various types of vacation accessories that they might be wanting of to have the quality vacation time they planned out while they are in the Ideal area. Products and Services Recently, Lucky Inc. Became as the allotted agents for IdealÃ¢â¬â¢s Travel, which will be the biggest and popular traveling agency out in the marketplace. However, per almost with no advertising, Lucky Inc. As sold about 200 adventure vacations in the past several months, netting about $56, 800 in commissions including the sales of insurance policies and other services also have calculated to this amount, and could possibly add much more. Lucky Inc. Ã¢â¬Ës clients will also be offered to have the opportunity of an inclusive variety of facilities to services to help their exciting tour, including seminars of before and after trip, tourist coverage, and a bo oklet of specific offers to each vacation place, etc. img class="alignright size-medium wp-image-34527" src="https://donemyessay.com/wp-content/uploads/2017/07/Lucky_Twitter_400x400-300x300.jpg" alt="Lucky Inc" width="300" height="300" / I plan to sell my share in the apparel store and finance the profits in my potential new company which will be a traveling agency as Lucky Inc. Moreover, I would be also financing $51, 600 of my savings from the past ears in this company, and take loans of $70,000 probably from friends and relatives. Furthermore, the return on shareholders capital by three year is anticipated to be close to 100 percent. The perseverance of this business plan is to converse this high profitable opportunity to my co-owner in the clothing shop and to the other investors of different organizations to encourage their interest in the venture. Alternatively, IÃ¢â¬â¢m also thinking of a loan finance made up of a $31,940 for about couples of years and a credit line of $48,620. In total, I will be in need of about $80,560 to fund the company or the first few months. The majority of the population of Ideal County is well educated, experienced, active, and pretty stable. The residences of the county also and wait out past periods of economic downturn. The dynamic economy, the lifestyle of Ideal County, and its exceptional environmental qualities attract people. Moreover, both public officials and business leaders are also aware of the need to keep our labor force well-armed with the marketable skills. From the Ideal County population, our potential targeted clients are the people who are professionals with annual earnings of about $50,000+, ages 20 to 30, whether single or married, without children, and college educated. Market Definition The projection of the world travel market is to grow about at greater than 4 percent average annually. I believe that this is somewhat faster than our general economic growth every year. I also planned to advertise my company outside of the United States. Hence, I selected such market like the European market, which is not the firmest growing market, and I believe this will be the most important destination, considering most the travelers will be international. I also think that among Europe, France, Italy, and Spain are the most popular destinations. Therefore, I decided to select tour operators with appropriate products in these areas as our initial partners. Business model The business model that will be used for this company is a distributor which is any business that purchases products directly from a manufacturer for resale either to retail outlets or directly to the buying public (Digging, 2012). For instance, a technology distributor would purchase computer parts from a technology manufacturer and then sell those parts wholesale to retail outlets for sale to the neural public (Digging, 2012). An auto dealership that deals in new cars would purchase vehicles directly from the manufacturer and sell them to the general public (Abram, 2003). According to the University of Southern California, Wall-Mart Department Stores qualifies as a distributor because it purchases product directly from the manufacturer. Not all department stores have that kind of purchasing power (Digging, 2012). We will also be leasing a combined telephone/data-base system from the onset. This will beneficial by allowing up to ten sales staff to answer alls and have full on-screen data on clients and products. As service is one of our key components, it is essential that we have full access to all relevant data speedily and efficiently. However, there might be times that will not be possible to meet other locations, etc. Therefore, I should always be prefer for the worse and make sure that my staffs are well trained to provide the best customer service to my clients. Since, we are successfully operating the outdoor clothing shop; hence, we are using the adventure travel vacation sales ratio to study how many of them we are being able to sale on up to date. For the determinations of our sales projection, we believe hat that only about two in five reviews will essentially effect in an adventure vacation being reserved. However, I believe this is a very conservative evaluation. I also undertake that there will be a firm accumulation of customers of the clothing shop who will approach us to learn more about the vacation packets and the destinations. Throughout the year we will also be able to bring in more clients by creating more promotional activities and of course our new clients of the clothing store. I am pretty hopeful that we will continue to strive with this trend to make Lucky Inc. To become well known. Based on the prediction, within next year we are projecting to sell about 600 adventure travel vacations for an estimated price of $3000. We also predicted that if we add insurance and other travel related service sales the gross profit will be nearly $ 2500,000 throughout the first year. Reference Abram, Rwanda, (2003). The successful business plan: secrets ; strategies. Plato Alto, Cilia. : Planning Shop Blackwell, Edward (2008). How to prepare a business plan. London; Philadelphia: Kananga Page Digging, Charles, (2012). The power of habit: why we do what we do in life and business. New York: Random House How to cite The goal of Lucky Inc., Papers
Monday, May 4, 2020
Crime And Capital Punishment Essay, Research Paper When turning on the telecasting, wireless, or merely reading the local newspaper, one is overwhelmed with intelligence of apprehensions, slayings, homicides, consecutive slayers, and other serious offenses. It is rare non to travel through a twenty-four hours in this universe and non hear of these things. Still, some authorities functionaries in our state seem a spot unsure about what steps to take in order to minimise the actions of serious or possible wrongdoers. Not merely is it perpetrating a offense, but besides today, it is stoping 1s life, either physically or in a prison cell. This is a hazard one is taking when he decides to knife person with a knife or draw a trigger, but is it truly up to our justness system to make up ones mind one # 8217 ; s destiny? There are many issues that address this inquiry of capital penalty such as faith, the consequence on society, damages being denied, the possible # 8220 ; wrongly accused # 8221 ; , and the rights of the convicted. We will write a custom essay sample on Crime And Capital Punishment Essay Research Paper or any similar topic specifically for you Do Not WasteYour Time HIRE WRITER Only 13.90 / page But how frequently do these constructs creep into the populaces mind when it hears of our? carnival and trusty? authorities taking off person # 8217 ; s take a breathing rights? The bible provinces, # 8220 ; Thou shall non kill, # 8221 ; and this being a wickedness should hold to be corrected within oneself. On the other manus, it besides states, # 8220 ; Don # 8217 ; t justice others personal convictions. # 8221 ; It is a authorities # 8217 ; s duty to penalize people that disobey the jurisprudence to maintain the universe in order, but is it their right to take their lives off? It is a Christian # 8217 ; s duty to indicate out to those who wickedness that they do so and this state, swearing in God as it says it does, should make merely that. Some people think that damages is granted when one is sentenced to the decease punishment. However, if a loved one is murdered and his household feels justness in holding the liquidator go through the same, is it non considered every bit incorrect? Forgiving and burying are wholly out of the inquiry, but one should see the construct of sorrow and compunction. Merely as one feels awful when wrongfully drives through their neighbours yard, certainly a liquidator may experience the same. One is merely human and no 1 can anticipate any more. A error is a error, no affair whom it may harm or what devastation it may do. There # 8217 ; s ever the opportunity of the guiltless being in the incorrect topographic point at the incorrect clip. A smattering of grounds from a strong attorney could condemn person to life in prison, and even the decease punishment. One could be passing and stoping his life in imprisonment for merely walking down the incorrect street on the incorrect twenty-four hours. Should he have to function the clip that # 8217 ; s non truly his and take the acerate leaf that shouldn # 8217 ; t prick his tegument? It # 8217 ; s a little mistake in the justness system that is non easy to get the better of, but that # 8217 ; s person # 8217 ; s life, and non cognizing the truth could be lay waste toing. Abraham Lincoln declared, # 8220 ; All work forces are created equal. # 8221 ; This statement of truth has evidently been left out of consideration in the tribunal room. Everyone deserves a 2nd opportunity because they are all capable of reformation. The wrongdoer should hold the opportunity to travel back into the universe and turn out himself honest. If work outing corruptness with immorality is the universe # 8217 ; s redress for rapprochement, so why non chop off the stealer # 8217 ; s manus? # 8220 ; An oculus for an oculus # 8221 ; was the justness of the yesteryear. It is now a modern universe based on logic and transmutation. Should a authorities commit a offense to warrant another? If capital penalty was entirely based on penalizing the offenders, there would be no 1 left to shoot the acerate leaf or draw the lever on.
Sunday, March 29, 2020
Are You Distracted by Technology essayEssay Writing Service Are You Distracted by Technology? essay Are You Distracted by Technology? essayNowadays technology entered all spheres of human life and contributed to significant changes in these spheres. Communications were dramatically reshaped by technology: the availability of social networks, video games and various smartphone and computer applications allows to stay connected 24/7 and to construct own virtual world in the most convenient way. Despite numerous advantages, active use of technology also has some notable disadvantages such as excess flow of information and frequent distractions damaging the ability to concentrate. Multitasking which is so common for all technology-related activities also alters the ability to focus on particular tasks and reinforces patterns of brain activity which are different from less technology-involved generations. The purpose of this paper is to discuss the distracting impact of technology and long-term consequences of this impact.The role of technology in educational sphere and in information p rocessing is invaluable; for example, technology changed the way of conducting research for students, made research findings more accessible and comprehensive for students and eased access to information in general. At the same time, mental habits of multitasking and staying online in social networks and messengers have a negative impact on the ability of students to process information, to concentrate on particular sources and to establish analytical connections between different sources of information. According to Prakash (2012), 87% of teachers note that students of the wired generation have shorter attention spans and 64% of teachers admit that technology is rather distracting students than helping their academic success.The way how information is presented and shared nowadays encourages people to focus on key concepts and sentences and skim the meaning of the messages. These skills are needed in order to navigate through multiple sources of information and multiple messages re ceived from these sources. Communications in social networks and messengers are also brief and are restrained either to sharing some information (links, photos, videos, etc.) or to exchanging short messages. Twitter actually embodies the essence of current communications 140 symbols might be enough for average information exchange activities. Furthermore, the availability of internet connection almost anywhere allows to stay online and receive updates at any time.The specifics of technology described above leads to shortening of attention spans; frequent checks of updates in various networks create distractions, and the need to stay updated and to know all the latest news hinders long-term concentration and affects the quality of activities which require thoughtful approach. Furthermore, kids who grow up in the conditions of information overload have difficulties in mastering time management and attention management. While for older adults who already have mastered time management it is easier to avoid distractions when needed, kids might not be able to develop the right skills and traits due to challenging environment.According to Rosen (2012), observation of the ability to concentrate of students of various age (middle school, high school and university) revealed alarming trends. The students had to study something important for 15 minutes, and their behaviors and distractions were observed during that time. The average time span that students spent on the task without distracting was 3 minutes (Rosen n.d.). This result was similar for all age categories of students. The major sources of distraction were technology sources such as laptops and smartphones (Rosen n.d.). These results show that the impact of technology is similar on all age categories. Furthermore, the researchers explored the relationship between academic performance and distractions, and it turned out that students who consumed more information and media every day and were prone to multitask ing had worse results. Students who were able to work longer on a specific task and developed focused study strategies showed better results (Rosen n.d.).Another study focused on the types of distractions which have the most impact on young people. It appeared that the choice of favorite distraction depended on psychosocial characteristics of an individual (Richtel n.d.). The students with a need for socializing tended to engage in texting, communicating in social networks and sending instant messages; the students who wanted to escape from the society chose video games and those students who had a tendency to procrastinate surfed various websites, watched videos and sometimes shared links with others (Richtel n.d.). Therefore, technology allows to choose the types of distractions that are most appropriate for an individual. In any case, the results of the research show that technology is a universal distraction and that active use of technology for entertainment can affect academic or working performance.Evidence shows that technology is a powerful distraction for most people. Active use of telecommunications leads to multitasking, reduces performance and attentiveness, affects attention spans and the ability to concentrate. While working with multiple sources of information might develop flexibility and short-term involvement, it is necessary to avoid excess multitasking and being distracted by technology since it can reduce the efficiency of in-depth thinking activities. In this context, it is important to remain focused in the modern world and to train the ability to concentrate on important things instead of switching between various distractions.
Saturday, March 7, 2020
Functions on SAT Math Linear, Quadratic, and Algebraic SAT / ACT Prep Online Guides and Tips SAT functions have the dubious honor of being one of the trickiest topics on the SAT math section. Luckily, this is not because function problems are inherently more difficult to solve than any other math problem, but because most students have simply not dealt with functions as much as they have other SAT math topics. This means that the difference between missing points on this seemingly tricky topic and acing them is simply a matter of practice and familiarization. And considering that function problems generally show up on average of three to four times per test, you will be able to pick up several more SAT math points once you know the rules and workings of functions. This will be your complete guide to SAT functions. We'll walk you through exactly what functions mean, how to use, manipulate, and identify them, and exactly what kind of function problems you'll see on the SAT. What Are Functions and How Do They Work? Functions are a way to describe the relationship between inputs and outputs, whether in graph form or equation form. It may help to think of functions like an assembly line or like a recipe- input eggs, butter, and flour, and the output is a cake. Most often you'll see functions written as $f(x) =$ an equation, wherein the equation can be as complex as a multivariable expression or as simple as an integer. Examples of functions: $f(x) = 6$ $f(x) = 5x Ã¢Ëâ 12$ $f(x) = x^2 + 2x Ã¢Ëâ 4$ Functions can always be graphed and different kinds of functions will produce different looking graphs. On a standard coordinate graph with axes of $x$ and $y$, the input of the graph will be the $x$ value and the output will be the $y$ value. Each input ($x$ value) can produce only one output, but one output can have multiple inputs. In other words, multiple inputs may produce the same output. One way to remember this is that you can have "many to one" (many inputs to one output), but NOT "one to many" (one input to many outputs). This means that a function graph can have potentially many $x$-intercepts, but only one $y$-intercept. (Why? Because when the input is $x=0$, there can only be one output, or $y$ value.) A function with multiple $x$-intercepts. You can always test whether a graph is a function graph using this understanding of inputs to outputs. If you use the "vertical line test," you can see when a graph is a function or not, as a function graph will NOT hit more than one point on any vertical line. No matter where we draw a vertical line on our function, it will only intersect with the graph a maximum of one time. The vertical line test applies to every type of function, no matter how "odd" looking. Even "strange-looking" functions will always pass the vertical line test. But any graph that fails the vertical line test (by intersecting with the vertical line more than once) is automatically NOT a function. This graph is NOT a function, as it fails the vertical line test. Too many obstacles in the way of the ascent works out as well for functions as it does for real life (which is to say: not well at all). Function Terms and Definitions Now that we've seen what functions do, let's talk about the pieces of a function. Functions are presented either by their equations, their tables, or by their graphs (called the "graph of the function"). Let's look at a sample function equation and break it down into its components. An example of a function: $f(x) = x^2 + 5$ $f$ is the name of the function (Note: we can call our function other names than $f$. This function is called $f$, but you may see functions written as $h(x)$, $g(x)$, $r(x)$, or anything else.) $(x)$ is the input (Note: in this case our input is called $x$, but we can call our input anything. $f(q)$ or $f(\strawberries)$ are both functions with the inputs of $q$ and strawberries, respectively.) $x^2 + 5$ gives us the output once we plug in the input value of $x$. An ordered pair is the coupling of a particular input with its output for any given function. So for the example function $f(x) = x^2 + 5$, with an input of 3, we can have an ordered pair of: $f(x) = x^2 + 5$ $f(3) = 3^2 + 5$ $f(3) = 9+5$ $f(3) = 14$ So our ordered pair is $(3, 14)$. Ordered pairs also act as coordinates, so we can use them to graph our function. Now that we understand our function ingredients, let's see how we can put them together. Different Types of Functions We saw before that functions can have all sorts of different equations for their output. Let's look at how these equations shape their corresponding graphs. Linear Functions A linear function makes a graph of a straight line. This means that, if you have a variable on the output side of the function, it cannot be raised to a power higher than 1. Why is this true? Because $x^2$ can give you a single output for two different inputs of $x$. Both $Ã¢Ëâ3^2$ and $3^2$ equal 9, which means the graph cannot be a straight line. Examples of linear functions: $f(x) = x Ã¢Ëâ 12$ $f(x) = 4$ $f(x) = 6x + 40$ Quadratic Functions A quadratic function makes a graph of a parabola, which means it is a graph that curves to open either up or down. It also means that our output variable will always be squared. The reason our variable must be squared (not cubed, not taken to the power of 1, etc.) is for the same reason that a linear function cannot be squared- because two input values can be squared to produce the same output. For example, remember that $3^2$ and $(Ã¢Ëâ3)^2$ both equal 9. Thus we have two input values- a positive and a negative- that give us the same output value. This gives us our curve. (Note: a parabola cannot open side to side because it would have to cross the $y$-axis more than once. This, as we've already established, would mean it was not a function.) This is NOT a quadratic function, as it fails the vertical line test. A quadratic function is often written as: $f(x) = ax^2 + bx + c$ The $\bi a$ value tells us how the parabola is shaped and the direction in which it opens. A positive $\bi a$ gives us a parabola that opens upwards. A negative $\bi a$ gives us a parabola that opens downwards. A large $\bi a$ value gives us a skinny parabola. A small $\bi a$ value gives us a wide parabola. The $\bi b$ value tells us where the vertex of the parabola is, left or right of the origin. A positive $\bi b$ puts the vertex of the parabola left of the origin. A negative $\bi b$ puts the vertex of the parabola right of the origin. The $\bi c$ value gives us the $y$-intercept of the parabola. This is wherever the graph hits the $y$-axis (and will only ever be one point). (Note: when $b=0$, the $y$-intercept will also be the location of the vertex of the parabola.) Don't worry if this seems like a lot to memorize right now- with practice, understanding function problems and their components will become second nature. Want to learn more about the SAT but tired of reading blog articles? Then you'll love our free, SAT prep livestreams. Designed and led by PrepScholar SAT experts, these live video events are a great resource for students and parents looking to learn more about the SAT and SAT prep. Click on the button below to register for one of our livestreams today! Typical Function Problems SAT function problems will always test you on whether or not you properly understand the relationship between inputs and outputs. These questions will generally fall into four question types: #1: Functions with given equations #2: Functions with graphs #3: Functions with tables #4: Nested functions There may be some overlap between the three categories, but these are the main themes you'll be tested on when it comes to functions. Let's look at some real SAT math examples of each type. Function Equations A function equation problem will give you a function in equation form and then ask you to use one or more inputs to find the output (or elements of the output). In order to find a particular output, we must plug in our given input for $x$ into our equation (the output). So if we want to find $f(2)$ for the equation $f(x) = x + 3$, we would plug in 2 for $x$. $f(x) = x + 3$ $f(2) = 2 + 3$ $f(2) = 5$ So, when our input $(x)$ is 2, our output $(y)$ is 5. Now let's look at a real SAT example of this type: $g(x)=ax^2+24$ For the function $g$ defined above, $a$ is a constant and $g(4)=8$. What is the value of $g(-4)$? A) 8 B) 0 C) -1 D) -8 We can start this problem by solving for the value of $a$. Since $g(4) = 8$, substituting 4 for $x$ and 8 for $g(x)$ gives us $8= a(4)^2 + 24 = 16a + 24$. Solving this equation gives us $a=-1$. Next, plug that value of $a$ into the function equation to get $g(x)=-x^2 +24$ To find $g(-4)$, we plug in -4 for $x$. From this we get $g(-4)=-(-4)^2 + 24$ $g(-4)= -16 + 24$ $g(-4)=8$ Our final answer is A, 8. Function Graphs A function graph question will provide you with an already graphed function and ask you any number of questions about it. These questions will generally ask you to identify specific elements of the graph or have you find the equation of the function from the graph. So long as you understand that $x$ is your input and that your equation is your output, $y$, then these types of questions will not be as tricky as they appear. The minimum value of a function corresponds to the $y$-coordinate of the point on the graph where it's lowest on the $y$-axis. Looking at the graph, we can see the function's lowest point on the $y$-axis occurs at $(-3,-2)$. Since we're looking for the value of $x$ when the function is at it's minimum, we need the x-coordinate, which is -3. So our final answer is B, -3. Function Tables The third way you may see a function is in its table. You will be given a table of values both for the input and the output and then asked to either find the equation of the function or the graph of the function. Oftentimes the best strategy for these types of questions is to plug in answers to make our lives simpler. This way, we don't have to actually find the equation on our own- we can simply test which answer choices match the inputs and outputs we are given in our table. Let's test the second ordered pair, $(3,13)$ with each answer option. For the correct answer, when we plug the $x$-value (3) into the equation, we'll end up with the correct $y$-value (13). A) $f(x) = 2(3) +3 = 9$. This equation is incorrect since 9 doesn't equal 13. B) $f(x) =3(3) +2 = 1$. This equation is also incorrect. C) $f(x) = 4(3) +1=13$. It's a match! This equation is correct so far. D) $f(x)= 5(3)= 15$. This equation is also incorrect. It looks like C is the correct answer choice, but let's plug the first and third ordered pairs in to make sure. For the first ordered pair $(1,5)$: $f(x) = 4(1) +1=5$ That's correct! For the third ordered pair $(5,21)$ $f(x) = 4(5) +1=21$ That's also correct! Our final answer is C, $f(x) = 4x +1$ Nested Functions The final type of function problem you might encounter on the SAT is called a "nested" function. Basically, this is an equation within an equation. In order to solve these types of questions, think of them in terms of your order of operations. You must always work from the inside out, so you must first find the output for your innermost function. Once you've found the output of your innermost function, you can use that result as the input of the outer function. Let's look at this in action to make more sense of this process. What is $f(g(xÃ¢Ëâ2))$ when $f(x) = x^2 Ã¢Ëâ 6$ and $g(x) = 3x + 4?$ A. $3x Ã¢Ëâ 2$ B. $3x^2 + 12x Ã¢Ëâ 6$ C. $9x^2 + 24x + 10$ D. $9x^2 Ã¢Ëâ 12x + 4$ E. $9x^2 Ã¢Ëâ 12x Ã¢Ëâ 2$ Because $g(x)$ is nested the deepest, we must find its output before we can find $f(g(xÃ¢Ëâ2))$. Instead of a number for $x$, we are given another equation. Though this may look different from earlier problems, the principle is exactly the same- replace whatever input we have for the variable in the output equation. $g(x) = 3x + 4$ $g(xÃ¢Ëâ2) = 3(xÃ¢Ëâ2) + 4$ $g(xÃ¢Ëâ2) = 3x Ã¢Ëâ 6 + 4$ $g(xÃ¢Ëâ2) = 3x Ã¢Ëâ 2$ So our output of $g(xÃ¢Ëâ2)$ is $3xÃ¢Ëâ2$. Again, this is an equation and not an integer, but it still works as an output. Now we must finish the problem by using this output of $g(x)$ as the input of $f(x)$. (Why do we do this? Because we are finding $f(g(x))$, which positions the result/output of $g(x)$ as the input of $f(x)$.) $f(x) = x^2 Ã¢Ëâ 6$ $f(g(xÃ¢Ëâ2)) = (3xÃ¢Ëâ2)^2 Ã¢Ëâ 6$ Now, we have a bit of a complication here in that we must square an equation. If you remember your exponent rules, you know you cannot simply distribute the square across the elements of the equation; you must square the entire expression. So let's take a moment to expand $(3xÃ¢Ëâ2)^2$ before we find the solution for the entire equation. $(3x Ã¢Ëâ 2)^2$ $(3x Ã¢Ëâ 2)(3x Ã¢Ëâ 2)$ $(3x*3x) + (3x*-2) + (Ã¢Ëâ2*3x) + (Ã¢Ëâ2*-2)$ $9x^2 Ã¢Ëâ 6x Ã¢Ëâ 6x + 4$ $9x^2 Ã¢Ëâ 12x + 4$ Now, let us add this expanded form of the equation back into the output. $f(g(xÃ¢Ëâ2)) = (9x^2 Ã¢Ëâ 12x + 4) Ã¢Ëâ 6$ $f(g(xÃ¢Ëâ2)) = 9x^2 Ã¢Ëâ 12x Ã¢Ëâ 2$ So our final solution for $f(g(xÃ¢Ëâ2))$ is $9x^2 Ã¢Ëâ 12x Ã¢Ëâ 2$. Our final answer is E, $9x^2 Ã¢Ëâ 12x Ã¢Ëâ 2$. Functions within functions, dreams within dreams. Make sure not to lose yourself along the way. Strategies for Solving Function Problems Now that you've seen all the different kinds of function problems in action, let's look at some tips and strategies for solving function problems of various types. For clarity, we've split these strategies into multiple sections- tips for all function problems and tips for function problems by type. So let's look at each strategy. Strategies for All Function Problems: #1: Keep careful track of all your pieces and write everything down Though it may seem obvious, in the heat of the moment it can be far too easy to confuse your negatives and positives or misplace which piece of your function (or graph or table) is your input and which is your output. Parenthesis are crucial. The creators of the SAT know how easy it is to get pieces of your function equations confused and mixed around (especially when your input is also an equation), so keep a sharp eye on all your moving pieces and don't try to do function problems in your head. #2: Use PIA and PIN as necessary As we saw in our function table problem above, it can save a good deal of effort and energy to use the strategy of plugging in answers. You can also use the technique of plugging in your own numbers to test out points on function graphs, work with any variable function equation, or work with nested functions with variables. For instance, let's look at our earlier nested function problem using PIN. (Remember- most any time a problem has variables in the answer choices, you can use PIN). What is $f(g(xÃ¢Ëâ2))$ when $f(x)= x^2 Ã¢Ëâ 6$ and $g(x) = 3x + 4?$ A. $3x^2 + 24x Ã¢Ëâ 2$ B. $3x^2 + 12x Ã¢Ëâ 6$ C. $9x^2 Ã¢Ëâ 24x + 10$ D. $9x^2 Ã¢Ëâ 12x + 4$ E. $9x^2 Ã¢Ëâ 12x Ã¢Ëâ 2$ If we remember how nested functions work (that we always work inside out), then we can plug in our own number for $x$ in the function $g(xÃ¢Ëâ2)$. That way, we won't have to work with variables and can use real numbers instead. So let us say that the $x$ is the $g(xÃ¢Ëâ2)$ function is 5. (Why 5? Why not!) Now $xÃ¢Ëâ2$ will be $5Ã¢Ëâ3$, or 3. This means $g(xÃ¢Ëâ2)$ will be $g(3)$. $g(xÃ¢Ëâ2) = 3x + 4$ $g(3) = 3(3) + 4$ $g(3) = 9 + 4$ $g(3) = 13$ Now, let us plug this number as the value for our $g(xÃ¢Ëâ2)$ function into our nested function $f(g(xÃ¢Ëâ2))$. $f(x) = x^2 Ã¢Ëâ 6$ $f(g(3)) = (13)^2 Ã¢Ëâ 6$ $f(g(3)) = 169 Ã¢Ëâ 6$ $f(g(3)) = 163$ Finally, let us test our answer choices to see which one matches our found answer of 163. Let us, as usual when using PIA or PIN, start in the middle with answer choice C. $9x^2 Ã¢Ëâ 24x + 10$ Now, we replace our $x$ value with the $x$ value we chose originally- 5. $9x^2 Ã¢Ëâ 24x + 10$ $9(5)^2 Ã¢Ëâ 24(5) + 10$ $9(25) Ã¢Ëâ 120 + 10$ $225 Ã¢Ëâ 120 + 10$ 5 Unfortunately, this number is too small. Let us try answer choice D instead. $9x^2 Ã¢Ëâ 12x + 4$ $9(5)^2 Ã¢Ëâ 12(5) + 4$ $9(25) Ã¢Ëâ 60 + 4$ $225 Ã¢Ëâ 60 + 4$ $165 + 4$ 169 This value is still too large, but we can see that it is awfully close to the final answer we want. Just by looking over our answer choices, we can see that answer choice E is exactly the same expression as answer choice D, except for the final integer value. If we were to subtract 2 from 165 instead of adding 4 (as we did with answer choice D), we would get our final answer of 163. As you can see. $9x^2 Ã¢Ëâ 12x Ã¢Ëâ 2$ $9(5)^2 Ã¢Ëâ 12(5) Ã¢Ëâ 2$ $9(25) Ã¢Ëâ 60 Ã¢Ëâ 2$ $225 Ã¢Ëâ 60 Ã¢Ëâ 2$ $165 Ã¢Ëâ 2$ 163 So our final answer is E, $9x^2 Ã¢Ëâ 12x Ã¢Ëâ 2$. #3: Practice, practice, practice Finally, the only way to get truly comfortable with any math topic is to practice as many different kinds of questions on that topic as you can. If functions are a weak area for you, then be sure to seek out more practice questions. For Function Graphs and Tables: #1: Start by finding the $\bi y$-intercept Generally, the easiest place to begin when working with function graphs and tables is by finding the y-intercept. From there, you can often eliminate several different answer choices that do not match our graph or our equation (as we did in our earlier examples). The y-intercept is almost always the easiest piece to find, so it's always a good place to begin. #2: Test your equation against multiple ordered pairs It is always a good idea to find two or more points (ordered pairs) of your functions and test them against a potential function equation. Sometimes one ordered pair works for your graph and a second does not. You must match the equation to the graph (or the equation to the table) that works for every coordinate point/ordered pair, not just one or two. For Function Equations and Nested Equations: #1: Always work inside out Nested functions can look beastly and difficult, but take them piece by piece. Work out the equation in the center and then build outwards slowly, so as not to get any of your variables or equations mixed up. #2: Remember to FOIL It is quite common for SAT to make you square an equation. This is because many students get these types of questions wrong and distribute their exponents instead of squaring the entire expression. If you don't properly FOIL, then you will get these questions wrong. Whenever possible, try not to let yourself lose points due to these kinds of careless errors. For instance, let's say that you must square an expression. Square the expression $x + 3$. We are told to square the entire expression, so we would say: $(x + 3)^2$ Now you must FOIL this out properly. $(x + 3)(x + 3)$ $(x*x)+(3*x)+(3*x)+(3*3)$ $x^2 + 3x + 3x + 9$ $x^2 + 6x + 9$ The final expression, once you have squared $x + 3$, is: $x^2 + 6x + 9.$ (Note: It is a common error for students to distribute the square and say: $(x + 3)^2 = x^2 + 9$ but this is wrong. Do not fall into this kind of trap!) You're all leveled-up- time to fight the big boss and put knowledge to action! Test Your Knowledge Now let's put your function knowledge to the test against real SAT math problems. 1. Let the function $f$ be defined bye $f(x)=5x-2a$, where $a$ is a constant. If $f(10)+f(5)=55$, what is the value of $a$? A) -5 B) 0 C) 5 D) 10 2. A function $f$ satisfies $f(2)=3$ and $f(3)=5$. A function $g$ satisfies $g(3)=2$ and $g(5)=6$. What is the value of $f(g(3))$? A) 2 B) 3 C) 5 D) 6 3. 4. Answers: C, B, A, D Answer Explanations: 1. As you can see here, we are given our equation as well as two inputs and their combined output. We must use this knowledge to find an element of our output (in this case, the value of $a$.) So let us find our outputs for each input we are given. $f(x) = 5x Ã¢Ëâ 2a$ $f(10) = 5(10) Ã¢Ëâ 2a$ $f(10) = 50 Ã¢Ëâ 2a$ And $f(x) = 5x Ã¢Ëâ 2a$ $f(5) = 5(5) Ã¢Ëâ 2a$ $f(5) = 25 Ã¢Ëâ 2a$ Now, let us set the sum of our two outputs equal to 55 (as was stipulated in the question). $50 Ã¢Ëâ 2a + 25 Ã¢Ëâ 2a = 55$ $75 Ã¢Ëâ 4a = 55$ $Ã¢Ëâ4a = Ã¢Ëâ20$ $a = 5$ Our final answer is C, $a=5$. 2. We're told in the question that $g(3)=2$. To find the value of $f(g(3))$, we need to substitute 2 for $g(3)$. We'll use that value in the $f(x)$ equation. Substituting 2 for $g(3)$ gives us $f(g(3))$ = $f(2)$. We're also told that $f(2)=3$, so that means 3 is the correct answer. Our final answer is B, 3. 3. As per our strategies, we will start by finding the $y$-intercept. We can see in this graph that the $y$-intercept is +2, which means we can eliminate answer choices C and E. (Why did we eliminate answer choice E? Because it had no $y$-intercept, which means that its $y$-intercept would be 0). We can see that the vertex of the graph is at $x=0$ and so it is not shifted to the right or left of the $y$-axis. This means that, in our quadratic equation $ax^2+bx+c$, our $b$ value has to be 0. If it were anything other than 0, our graph would be shifted left or right of the $y$-axis. Now answer choices B and D are squaring expressions, so let us properly FOIL them in order to see the equation properly. Answer choice B gives us: $y=(x+2)^2$ $y=(x+2)(x+2)$ $y=x^2+2x+2x+4$ $y=x^2+4x+4$ This equation would give us a parabola whose $y$-intercept was at +4 and whose vertex was positioned to the left of the $y$-axis (remember, a positive $b$ value shifts the graph to the left.) We can eliminate answer choice B. By the same token, we can also eliminate answer choice D, as it would give us: $y=(xÃ¢Ëâ2)^2$ $y=(xÃ¢Ëâ2)(xÃ¢Ëâ2)$ $y=x^2Ã¢Ëâ4x+4$ Which would give us a graph with a $y$-intercept at +4 and a vertex positioned to the right of the $y$-axis. By process of elimination, we are left with answer choice A. But, for the sake of double-checking, let us test a coordinate point on the graph against the formula. We already know that our equation matches the coordinate points of $(0, 2)$, as that is our $y$-intercept, but there are several more places on the graph that hit at even coordinates. By looking at the graph, we can see that the parabola hits the coordinates $(1, 3)$, so let us test this point by plugging our input (1) into our equation, in hopes that it will match our output of 3. $y=x^2+2$ $y=(1)^2+2$ $y=1+3$ $y=3$ Our equation matches two sets of ordered pairs on the graph. We can reasonably say that this is the correct equation for the graph. Our final solution is A, $y=x^2+2$ 4. Instead of using $x$ for our input, this problem has us use $t.$ If you become very used to using $f(x)$, this may seem disorienting, so you can always rewrite the problem using $x$ in place of $t$. In this case, we will continue to use $t$, just so that we can keep the problem organized on the page. First, let us find the $y$-intercept. The $y$-intercept is the point at which $x=0$, so we can see that we are already given this with the first set of numbers in the table. When $t=0$, $f(t) = Ã¢Ëâ1$ Our $y$-intercept is therefore -1, which means that we can automatically eliminate answer choices B, C, and E. Now let's use our strategy of plugging in numbers again. Our answer choices are between A and D, so let us first test A with the second ordered pair. Our potential equation is: $f(t) = t Ã¢Ëâ 1$ And our ordered pair is: $(1, 1)$ So let us put them together. $f(t) = t Ã¢Ëâ 1$ $f(1) = 1 Ã¢Ëâ 1$ $f(1) = 0$ This is incorrect, as it would mean that our output is 0 when our input is 1, and yet the ordered pair says that our output will be 1 when our input is 1. Answer choice A is incorrect. By process of elimination, let us try answer choice D. Our potential equation is: $f(t) = 2t Ã¢Ëâ 1$ And our ordered pair is again: $(1, 1)$ So let us put them together. $f(1) = 2(1) Ã¢Ëâ 1$ $f(1) = 2 Ã¢Ëâ 1$ $f(1) = 1$ This matches the input and output we are given in our ordered pair. Answer choice D is correct. Our final answer is D, $f(t) = 2t Ã¢Ëâ 1$ You did it! High fives all around. The Take Aways Many students have not dealt a lot with functions, but don't let these kinds of questions intimidate or confuse you when you see them on the SAT. The principles behind functions are a simple matter of input, output, and plugging in values. The test will try to muddy the waters when they can, but always remember that these questions will appear to be more complex than they truly are. Though it can be easy to make a error with your signs or variables, the actual problems are simple at their core. So pay close attention, double-check your work, and you'll soon be able to work through functions problems with little trouble. What's Next? Speaking of quadratic functions, how's your grasp of completing the square? Learn how and when to complete the square with this guide. Phew! Knowing your functions means knowing a significant portion of the SAT math section (round of applause to you!), but there are so many more topics to cover. Take a look at all the topics you'll be tested on in the SAT math section and then mosey on over to our math guides to review any topic you feel rusty on. Not feeling confident about your exponent rules? How about your understanding of polygons? Need to review your slopes? Whatever the topic, we've got you covered! Looking for help with more basic math? Refresh your memory on the distributive property, perfect squares, and how to find the mean of a set of numbers here. Think you need a math tutor? Check out our guides on how to find the tutor that best meets your needs (and your budget). Running out of time on the SAT math section? Not to worry! We have the tools and strategies to help you beat the clock and maximize your point gain. Trying for a perfect score? Check out how to push your score to its maximum potential with our guide to getting an 800 on the SAT math, written by a perfect scorer. Want to improve your SAT score by 160 points? Check out our best-in-class online SAT prep program. We guarantee your money back if you don't improve your SAT score by 160 points or more. Our program is entirely online, and it customizes what you study to your strengths and weaknesses. If you liked this Math strategy guide, you'll love our program. Along with more detailed lessons, you'll get thousands of practice problems organized by individual skills so you learn most effectively. We'll also give you a step-by-step program to follow so you'll never be confused about what to study next. Check out our 5-day free trial:
Wednesday, February 19, 2020
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