Topics
7. Inverse Functions and Logarithms
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United States of America
Grades 9-12

7.01 Inverse functions

Lesson
Practice
Adaptive
Worksheet

Interactive practice questions

Consider the graph of each function below and determine if it has an inverse function.

a
Loading Graph...
A graph of cubic function with only one x-intercept on a coordinate plane.

Has an inverse function.

A

Does not have an inverse function.

B
b
Loading Graph...
A graph of cubic function with three x-intercept on a coordinate plane.

Has an inverse function.

A

 Does not have an inverse function.

B
Medium
< 1min

For each function graphed below, determine if it has an inverse function.

Medium
< 1min

Do the following graphs have inverse functions?

Medium
< 1min

The graphs of a function $f$f and its inverse $f^{-1}$f−1 are symmetric about which line?

Medium
< 1min
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Outcomes

F.BF.B.4

Find inverse functions.

F.BF.B.4.A

Solve an equation of the form f(x) = c for a simple function f that has an inverse and write an expression for the inverse.

F.BF.B.4.C (+)

Read values of an inverse function from a graph or a table, given that the function has an inverse.

F.BF.B.4.D (+)

Produce an invertible function from a non-invertible function by restricting the domain.

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