Algebra 1: Common Core (15th Edition)

Published by Prentice Hall
ISBN 10: 0133281140
ISBN 13: 978-0-13328-114-9

Chapter 11 - Rational Expressions and Functions - 11-7 Graphing Rational Functions - Practice and Problem-Solving Exercises: 12

Answer

Vertical Asymptote: x=2 Horizontal Asymptote: y=0

Work Step by Step

The vertical asymptote travels vertically and crosses the x axis. The point at which it crosses the x axis denotes the asymptote. Therefore, looking at the graph, we see that the asymptote travelling vertically crosses the x axis at 2. Therefore, our vertical asymptote is x = 2. The horizontal asymptote travels horizontally and crosses the y axis. The point at which it crosses the y axis denotes the asymptote. Therefore, looking at the graph, we see that the asymptote travelling horizontally crosses the y axis at 0. Therefore, y = 0.
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