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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.F-BF.B.4.a

Find inverse functions. A. Understand that an inverse function can be obtained by expressing the dependent variable of one function as the independent variable of another, recognizing that functions f and g are inverse functions if and only if f(x) = y and g(y) = x for all values of x in the domain of f and all values of y in the domain of g.

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