College Algebra (6th Edition)

Published by Pearson
ISBN 10: 0-32178-228-3
ISBN 13: 978-0-32178-228-1

Chapter 3 - Polynomial and Rational Functions - Exercise Set 3.5 - Page 409: 113

Answer

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Work Step by Step

To sketch a graph of a rational function, you can start by finding the asymptotes and intercepts. Steps involved in graphing rational functions: 1.Find the asymptotes of the rational function, if any. 2.Draw the asymptotes as dotted lines. 3.Find the $x$-intercept (s) and $y$ -intercept of the rational function, if any. 4.Find the values of $y$ for several different values of $x$. 5.Plot the points and draw a smooth curve to connect the points. Make sure that the graph does not cross the vertical asymptotes.
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