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1.10 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

A2.2.B

Graph and write the inverse of a function using notation such as f^( -1) (x)

A2.2.C

Describe and analyze the relationship between a function and its inverse (quadratic and square root, logarithmic and exponential), including the restriction(s) on domain, which will restrict its range

A2.7.I

Write the domain and range of a function in interval notation, inequalities, and set notation

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