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Unformatted text preview: ons October 1, 2012 11 / 17 Notes Rational Functions Horizontal Asymptotes Horizontal Asymptotes Notes Theorem
p (x )
am x m + . . .
=
, m = deg p, and n = deg q.
q (x )
bn x n + . . .
If m < n, then R (x ) has a horizontal asymptote of y = 0.
am
If m = n, then R (x ) has a horizontal asymptote of y =
.
bn
If m > n, then R (x ) does not have a horizontal asymptote. Let R (x ) = Patrick Newberry Polynomial and Rational Functions Rational Functions f (x ) = Patrick Newberry g (x ) = 12 / 17 Examples Notes x
x2 1 Polynomial and Rational Functions Rational Functions October 1, 2012 October 1, 2012 13 / 17 Examples Notes x3
x * quiz question* 1 VA: x=+/1 Patrick Newberry Polynomial and Rational Functions October 1, 2012 14 / 17 Rational Functions h (x ) = Patrick Newberry Examples Polynomial and Rational Functions Rational Functions Notes 2x 2
x2 1 October 1, 2012 15 / 17 Examples Notes
Determine the location of all the vertical and horizontal asymptotes (...
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This document was uploaded on 02/18/2014 for the course MATH 1071 at Colorado.
 Fall '08
 MARSHALL,K
 Math, Rational Functions

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