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Understanding Rational Functions

Understanding Rational Functions

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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/I9c55b6-k5o

Intercepts of Rational Functions

The following video will be available with closed captioning at:

http://youtu.be/Ae9RJ_7dm18

Determining Intercepts and Asymptotes from Graphical Representation

The following video will be available with closed captioning at:

http://youtu.be/C5-2Az-D904

Horizontal and Vertical Asymptotes

The following video will be available with closed captioning at:

http://youtu.be/zxK9NhVlg0I

r(x) = (8x-8)/(x+2)

The following video will be available with closed captioning at:

http://youtu.be/0NppQN9qItA

s(x) = (8-7x)/(x+5)

I incorrectly labeled the intersection point of the two asymptotes as (-5,-8) instead of (-5,-7) when drawing the second branch of the graph. The original calculations are correct.

The following video will be available with closed captioning at:

http://youtu.be/0aBdZ-riwXU

Slant (Oblique) Asymptotes

The following video will be available with closed captioning at:

http://youtu.be/LRnJTwV7FoA

Transformations of y = 1/x

In the 2nd graph of the first example, I incorrectly labeled the point in the 3rd quadrant as (-5,1) instead of (-5,-1).