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1.11 Inverse relations and functions

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
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Outcomes

NC.M3.F-BF.4

Find an inverse function.

NC.M3.F-BF.4a

Understand the inverse relationship between exponential and logarithmic, quadratic and square root, and linear to linear functions and use this relationship to solve problems using tables, graphs, and equations.

NC.M3.F-BF.4c

If an inverse function exists for a linear, quadratic and/or exponential function, f, represent the inverse function, f -1 , with a table, graph, or equation and use it to solve problems in terms of a contex

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