MATH 1071 Polynomial and Rational functions_10:1

Patrick newberry polynomial and rational functions

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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.

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