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Algebra 1 - Precalculus

1.09 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

A function is defined as $f\left(x\right)=\frac{x}{8}+3$f(x)=x8+3.

Determine an expression for the inverse function.

Easy
< 1min
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Outcomes

F.BF.B.4

Find inverse functions.

F.BF.B.4.B

(+) Verify by composition that one function is the inverse of another.

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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