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 - Page 710: 13

Answer

Vertical asymptote: $x=1$ Horizontal asymptote: $y=-1$

Work Step by Step

An asymptote is a line that has the property that as $x$ or $y$ gets large, the distance between the graph and the line approaches zero. In the graph, you can see that the asymptotes are already labeled in a black dashed line, and you can see that the graph will get closer but never touch the lines. Therefore, you can just see that the lines $y = -1$ and $ x = 1$ are the asymptotes because they are the equations of the black dashed lines.
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