College Algebra 7th Edition

Published by Brooks Cole
ISBN 10: 1305115546
ISBN 13: 978-1-30511-554-5

Chapter 3, Polynomial and Rational Functions - Section 3.6 - Rational Functions - 3.6 Exercises - Page 344: 31

Answer

Vertical asymptote: $\qquad x=2$. Horizontal asymptote: $\qquad y=0$.

Work Step by Step

Use the procedure "Finding asymptotes of rational functions" on page 336. 1. The denominator is zero for $x-2=0$ $x=2 \qquad $(vertical asymptote) 2. The numerator is constant (degree $n=0$); the denominator is linear (degree $m=1$). Since $n \lt m,\quad $the horizontal asymptote is $y=0.$
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