IXL - Graphs of inverse functions (Precalculus practice)

This is the graph of a function

(

)

Which of the following is the graph of

–

(

)

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Learn with an example

question

This is the graph of a function

(

)

Which of the following is the graph of

–

(

)

key idea

The inverse of a function

(

)

is another function called

–

(

)

The inverse takes the output values of

(

)

and produces the corresponding input values.

–

(

)

if and only if

(

)

This means for every point

(

)

on the graph of

(

)

there is a corresponding point

(

)

on the graph of

–

(

)

As a result, the graph of

–

(

)

is the reflection of the graph of

(

)

across the line

solution

This is the graph of

(

)

To graph the inverse function

–

(

)

reflect each point on the graph of

(

)

across the line

Do this by switching the

and

-coordinates

of each point.

For example, the point

(

)

lies on the graph of

(

)

So, the point

(

)

lies on the graph of

–

(

)

Repeat this for all the points on the graph of

(

)

Graph of h ( x )	Graph of h – 1 ( x )
( 4 , 0 )	( 0 , 4 )
( – 2 , – 3 )	( – 3 , – 2 )
( 2 , 3 )	( 3 , 2 )
( 3 , 2 )	( 2 , 3 )
( 5 , – 5 )	( – 5 , 5 )

This is the graph of

–

(

)

$Confetti$

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B.2Find values of inverse functions from tables

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