3.6 - Graphs of Rational Functions

# 3.6 - Graphs of Rational Functions -

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<?xml version="1.0" encoding="iso-8859-1"?> <!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Strict//EN" "http://www.w3.org/TR/xhtml1/DTD/xhtml1-strict.dtd"> <html xmlns="http://www.w3.org/1999/xhtml"> <head> <title>3.6 - Graphs of Rational Functions</title> <meta http-equiv="Content-Type" content="text/html; charset=iso-8859-1" /> <link href=". ./m116.css" rel="stylesheet" type="text/css" /> </head> <body> <h1>3.6 - Graphs of Rational Functions</h1> <p>Let f(x) = p(x) / q(x) where p(x) and q(x) have no common factors. </p> <p>If p(x) and q(x) have a common factor, then divide out the extra factors so that it is only left in the numerator, or denominator, or not at all. Then look at the section on <a href="rational.html">holes</a> in the lecture notes for section 3.5. </p> <ol> <li>The y-intercept is the value of f(0). That is, substitute 0 in for x in both the numerator and denominator.</li> <li>The x-intercepts are the zeros of p(x).</li> <li>The vertical asymptotes are the zeros of q(x).</li>

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## This note was uploaded on 10/18/2011 for the course MAT 1033 taught by Professor Brown during the Spring '10 term at Valencia.

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3.6 - Graphs of Rational Functions -

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