1. Functions

1.01 Review: Relations and functions

1.02 Function families and transformations

1.03 Choosing appropriate models

1.04 Domain and range and continuity

1.05 Characteristics from a graph

1.06 Average rates of change

1.07 Comparing function types

1.08 Solutions from a graph

1.09 Operations and compositions of functions

1.10 Inverse relations and functions

United States of America GA

Algebra 2

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

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

Outcomes

MGSE9-12.F.BF.4

Find inverse functions.

MGSE9-12.F.BF.4a

Solve an equation of the form f(x) = c for a simple function f that has an inverse and write an expression for the inverse. For example, f(x) =2(x^3) or f(x) = (x+1)/(x-1) for x â‰ 1.

MGSE9-12.F.BF.4b

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

MGSE9-12.F.BF.4c

Read values of an inverse function from a graph or a table, given that the function has an inverse.

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