College Algebra (10th Edition)

Published by Pearson
ISBN 10: 0321979478
ISBN 13: 978-0-32197-947-6

Chapter 3 - Section 3.4 - Library of Functions; Piecewise-defined Function - 3.4 Assess Your Understanding: 17



Work Step by Step

This graph corresponds to the reciprocal function, i.e. $f(x)=\frac{1}{x}$ because it has a vertical asymptote at $x=0$ and a horizontal asymptote at $y=0$. The asymptotes exist because we can't divide by 0 and $\frac{1}{x}$ can never equal 0.
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