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Coolmath Algebra
Graphing Rational Functions Lesson 4 - Horizontal and Slant (Oblique) Asymptotes  (page 2 of 4)
---- This algebra lesson explains how to find horizontal and slant (oblique) asymptotes when graphing rational functions.

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Check it out:

Find the horizontal asymptote for

f ( x ) = ( 4x^2 - 3x + 1 ) / ( 2x^2 - 1 )

If we write out the long division...

( 4x^2 - 3x + 1 ) / ( 2x^2 - 1 ) = 2 ... this gives 4x^2 - 2 ... subtracting gives -3x yadda
Done!

We got this 2 by looking at 4x^2 / 2x^2 = 2

So, the horizontal asymptote is the line

y = 2

We could have just taken a quick look at

4x^2 / 2x^2

and have been done with it!

Continued on the next page

 The printing and distribution and/or downloading of these lessons is strictly prohibited.
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