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5.07 Inverse relations and functions

Adaptive
Worksheet

Interactive practice questions

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

a
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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
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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
Easy
< 1min

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

Easy
< 1min

Do the following graphs have inverse functions?

Easy
< 1min

The graphs of a function $f$f and its inverse $f^{-1}$f1 are symmetric about which line?

Easy
< 1min
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Outcomes

MA.912.F.3.6

Determine whether an inverse function exists by analyzing tables, graphs and equations.

MA.912.F.3.7

Represent the inverse of a function algebraically, graphically or in a table. Use composition of functions to verify that one function is the inverse of the other.

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