Algebra and Trigonometry 10th Edition

Published by Cengage Learning
ISBN 10: 9781337271172
ISBN 13: 978-1-33727-117-2

Chapter 4 - 4.2 - Graphs of Rational Functions - 4.2 Exercises - Page 324: 65

Answer

The domain: $(-\infty,0)\cup(0,\infty)$. The vertical asymptote: $x=0$ The slant asymptote: $y=-x+3$.

Work Step by Step

Using a graphing utility, the graph of the function is as shown. From the graph, the domain is $(-\infty,0)\cup(0,\infty)$. The vertical asymptote is $x=0$ and the slant asymptote is $y=-x+3$. The line in the zoomed out graph has equation $y=-x+3$.
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