4 Ways to Find the Range of the Function

Are you struggling in math since you don’t know how to find the range of the function? Finding range is very confusing for you? The range of the function is the set of numbers that the function f(x) provides. In other words the set of y-values, which you get by applying all possible value of x in the function. Following article will give you 4 ways to find the range of the function.

1) Find the range in graph

• First, find the minimum y-coordinate of the function.

• Find the maximum y-coordinate of the function.

• State the range.

• Suppose range lowest point is -2 but goes upward infinity, then the range of the function is f(x)≥ -2.

• Suppose range highest point is 15 but goes downward infinity, then the range of the function is f(x)≤ 15.

2) Find the range by equation

• Let you have an equation f(x)=5x^2+8x-9. To find the range of the equation just put x value and get the y-coordinate.

• Repeat the process for few other points in the function.

• Find the lowest and highest point of the function.

• Then state the range of the function.

3) Find the range in relation

• Suppose you have a relation {(-2,-4),(4,7),(3,3),(6,4),(2,3)}

• First write the x-coordinate of the ration and the y-coordinate of the relation
x-coordinate ={-2,4,3,6,2}
y-coordinate ={-4,7,3,4,3}

• If in y coordinate any number is two times, then take that number only one time.
Y-coordinate = {-4,7,3,4}

• State the range of the function. Here the range is {-4,3,4,7}

4) Find the range in a word problem

• If you need to find the range in a word problem, then first read the problem carefully.

• Write the problem into a function.

• Then determine the range of the function. To find the range of the function first find the domain of the function for all possible value then find the range.

Important tips:

• Finding the range of the function in relation keep in mind when you write the x-coordinate then y coordinate has to same what you got after putting the same x value. For example x-coordinate are 3 and 5,corresponding y-coordinate are 6 and 10, then write {(3,6),(5,10)} not {(3,10),(6,5)}.

• Many websites and Algebra help online provide the step by step solution.

• For more about range find here.     

• Ask for help from your Online Math Tutor. 

Is Math Really Important?

What is mathematics all about? Why do we all have to study mathematics? These all are the common questions in student's mind. Many kids ask their parents and teachers, is math really important? The answer is, mathematics is all about logic, it is useful and important, it is important because the whole world depends on mathematics. Basic concepts of mathematics are crucial in our life. We all cannot imagine life without mathematics. Many students wonder how would geometry help or trig help them in life. In school and college, we don't even realize how important mathematics is in our life. This article will help you to understand the importance of mathematics.

Math teaches logic:

Math teaches logic and order which are important in life. We all need to make a decision at some points in each field. From home to office everywhere we make decisions by using our logic. Correct logical thinking makes your life better. Math helps us to develop logical thinking.

Math is essential to study other subjects:

It may sound odd, but if you want to become a master of other subjects, then you need to understand some basics of mathematics. For example, study computer at the college level you need to know at-least the basics of mathematics. Likewise other subject’s also depends on mathematics at some points.

Math needs for counting:

From morning to evening we all use counting to see the time, distance from home to school, measure the ingredient for any dish, when you buy something you need to count the money, to decorate your home and so on. Without even realizing we use mathematical concepts every day.

Math teaches life skills:

It is hard to live a life without using the basics of mathematics. Math teaches numbers and money counting in the early age and in later age. We use these numbers and counting to calculate the percentages, solve the problems and so on. We use these math basic life times.  

Math makes everything easy:

It is impossible to believe, but math makes everything seem relatively easy. Math concepts are used in sports so if you are good at math it will be easy you to understand the basic of any game quickly and easily.

The conclusion is math is really important in every field.

10 Helpful Hints For Taking Math Tests

Many students use the same way to study math as they study for history or any other subject for exam. Students memorize the formula and equations in the same way as they would memorize other subject facts and dates. But math is the subjects which you cannot memorize. This article will help you to study for the math exam in the right way. 

Find below 10 important hints for preparing math test,

1)  Begin Preparation early so that you get enough time for preparation. Pay attention during class hour.  

 

2) Collect all the information about exam material. Once you get the material start practicing under test conditions. Try to solve unassigned homework problems and check whether you can finish them in the allotted time for the exam.

3) Practice is important in mathematics. Once you learn to solve problems keep on practicing to make it perfect. But make sure don’t practice blindly, re-check your answers all the time when you solve a problem.

4) Make use of the internet to collect more information. In case if you are not able to get the correct solution, ask help from live math tutor. These online tutors are available 24/7 help to help you.

5) You can form a study group of 3-4 dedicated students. It will help you to clear your doubts and helping other students is the best way to practice mathematics. You can also form a global study group this will help you to get more information about your material. For example, you need statistic help but you are not able to get it so you just need to post your problem globally on any website within a minute you’ll be able to see number of solutions solved in different pattern. This helps you to understand statistic easily and quickly.

6) Mix up the problems from various topics and solve, so that you will learn when to use a specific formula and method.

7) Show all your work. It will help you to re-check the problem.

8) Make up the sheet with all the important formulas and method.

9) Learn time management, which is the most important tool for math test. Many students make these mistakes very often.

10) Revision is the last and most vital tip, spend some time on revision. Revision is more important that learning.

Why Math Is Important In Our Life?

I like math. But the question is, why do we ask children to learn math? Why it is so important? Here is the answer: math is so important to learn due to its usefulness, suppose you are in a grocery store and pay $50. Now you stand there for the change, but what if you have no idea how much change you should get. That is the reason why math is so important. We use math everyday, every here. World is surrounded by math concepts. Without math we would not have seen wonders of the world. Math is the oldest science. There are many reasons to explain the importance of math in our life.

 

As we belong to the society, which fully depends on technology and electronics. Technology and electronics are based on mathematics. This is the main reason why we ask children to learn math.

While assuming any situation we use math concepts for example, statistics help in weather forecasting, in casino games like blackjack and so on. Hence, statistics is important for many games.

Today's society cannot survive without mathematics. Just make some experiments and realize how important math is in our life. From morning to evening how many times we make use of the clock, in a day how many times we make use of counting numbers, planning every day for life and so on. These all are very natural activities, which depends on mathematical concepts.

In the world of internet, online shopping, online tutoring, math live help, online exams, etc are very popular, all of these are based on mathematics. To understand internet applications you need to know some amount of basic math concepts.

Whole world depends on the mathematics, For Ex;

1) Surviving the new world.

2) Creating new skills.

3) Understand new technology.

6 Common Mistakes While Preparing For Math Exam

Preparing for math exam is never an easy task. Most of the students having anxiety about math exam because for them math is a complex and difficult subject. Many students do poor on math exam that is because they do not understand the material and some times because of poor study habits also because of poor test preparation. Many online tutors for math are available, they help students with preparation of math exam.
 

There are 6 common mistakes which most of the students do:

1) Last Minute Study:

Last movement study is the main cause for many students anxiety. Avoid last minute study this is the main mistake most of the students use to do.

2) Study For Long Time:

Study for long time increase stress. If you study for long time it will increase physical and mental stress. Avoid long time study and take rest every 1 hour.

3) Understand The Material: 

This is the big mistake students do while preparing for math exam. Do not just go through the methods try to understand each and every step.

4) Practice The Problems:

Many students make simple mistakes during exam this is because lack of practice. Practice as many as problems you can. Just understanding will not get the success. Practice is the key for success. Practice each problem at least twice.

5) Not Taking Advantages Of Resources:

Most of the students do not utilize the extra resource like private tutors, extra classes, internet and so on. There are many extra resources are available for mathematics like online tutors for each subject for examples tutoring for statistics, tutoring for algebra, etc.

6) Incomplete Study Material:

This is the most common mistake which students do often. First, students should collect all the study material, then start preparing for the exam.