Practice Range in Math

Use these practice problems to test your method after reviewing the concept explanation and worked examples.

Worksheet PDF Free Answer-key PDF Family

Quick Recap

The range of a function is the set of all actual output values that the function can produce for inputs in its domain.

The range is the set of all possible "answers" the function can give — some output values may be unreachable no matter what valid input you choose.

Showing a random 20 of 50 problems.

Example 1

medium

Find the range of

f(x)=2\cos x-3

Example 2

medium

Find the range of

f(x)=\frac{1}{x}

Example 3

easy

Range of the constant function

f(x)=-2

Example 4

hard

Find the range of

f(x)=\dfrac{x^2}{x^2+4}

Example 5

hard

Find the range of

f(x)=\dfrac{2x^2+1}{x^2+1}

Example 6

easy

Range of

f(x)=e^{-x}

Example 7

easy

Find the range of

f(x) = x^2 + 1

Example 8

easy

Find the range of

f(x)=|x|

Example 9

medium

Find the range of

f(x)=|x-5|+|x+5|

Example 10

easy

Find the range of

f(x)=x+5

Example 11

easy

Find the range of

f(x)=\sqrt{x}

Example 12

easy

Find the range of

f(x)=2^x

Example 13

easy

Find the range of

f(x)=x^2

Example 14

easy

Find the range of

f(x) = -|x| + 4

Example 15

easy

Range of

f(x)=|x|+2

Example 16

medium

Find the range of

f(x)=e^x+2

Example 17

challenge

Find the range of

f(x)=\sin x+\cos x

Example 18

challenge

Find the range of

f(x)=\dfrac{x^2-2x+2}{x-1}

for

x>1

Example 19

hard

Find the range of

f(x)=x+\dfrac{4}{x}

for

x>0

Example 20

easy

Find the range of

f(x)=3x+2

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Related Concepts

Function Domain