Module 4 Review: Piecewise, Absolute Value, & Inverse Functions

4 Slides • 6 Questions

1

Module 4 Review:

Piecewise, Absolute Value, & Inverse Functions

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Inverse Functions

3

Inverse functions "undo" a function by switching it's x & y-values.

Inverse Functions

4

Multiple Choice

Given $f\left(x\right)=\frac{x-2}{6}$ , find $f^{-1}\left(x\right)$ .

1

$\frac{x-6}{2}$

2

$6x+2$

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$2x+6$

4

$6\left(x+2\right)$

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Multiple Choice

Find the inverse function of:

$f\left(x\right)=3x-5$

1

$f^{-1}(x)=3x+5$

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$f^{-1}(x)=\frac{x+5}{3}$

3

$f^{-1}\left(x\right)=\frac{x}{3}+5$

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$f^{-1}\left(x\right)=3\left(x+5\right)$

6

Multiple Choice

Which is the inverse of the table?

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2

7

Equation of

ANY Line!

8

Multiple Choice

Write the equation for the line in modified point-slope form using the point (0,3).

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$f\left(x\right)=\frac{1}{4}\left(x-0\right)+3$

2

$f\left(x\right)=4\left(x-0\right)+3$

9

Multiple Choice

Write the equation for the line in modified point-slope form using the point (-2,4).

1

$f\left(x\right)=\left(x-2\right)-4$

2

$f\left(x\right)=-\left(x+2\right)+4$

10

Multiple Choice

What is the interval (domain) for this line?

1

$2<x<4$

2

$-2<x\le4$

3

$-2\le x<4$

Module 4 Review:

Piecewise, Absolute Value, & Inverse Functions

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