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# Four Piecewise-Defined Function Examples

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Author: Shirley Beil

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Tutorial

The following video will be available with closed captioning at:

http://youtu.be/Dqg2lF-VWnk

## f(x) = 8 − x^2 if x ≤ 2, and f(x) = x if x > 2

The following video will be available with closed captioning at:

http://youtu.be/-YTPiXkCiik

## f(x) = x^2 if |x| ≤ 1, and f(x) = 1 if |x| > 1

I do incorrectly identify a point as (1,0) instead of (1,1). However, I believe that this error will be obvious and will not confuse the viewer..

The following video will be available with closed captioning at:

http://youtu.be/_FE4-eXdkPg

## f(x) = x + 7 if x ≤-1 and f(x) = x^2 + 5 if x > -1

The following video will be available with closed captioning at:

http://youtu.be/Ixmcg2q1mVA