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.