Algebra 1

Published by Prentice Hall
ISBN 10: 0133500403
ISBN 13: 978-0-13350-040-0

Chapter 11 - Rational Expressions and Functions - 11-7 Graphing Rational Functions - Practice and Problem-Solving Exercises - Page 698: 16


Vertical Asymptote: x = 0 Horizontal Asymptote: y = 0 Graph in attached file.

Work Step by Step

To find the vertical and horizontal asymptotes, we must look at the equation. In the graph of the rational function: $y = \frac{a}{x-b}+c$ $x = b$ is the vertical asymptote and $y=c$ is the horizontal asymptote. Therefore, looking at the given rational function, $y = \frac{-10}{x}$, we can think about it as: $y = \frac{-10}{x-0}+0$ This helps us see that our vertical asymptote is $x = 0$ and our horizontal asymptote is $y = 0$. See attached file for explanation of graph.
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