Precalculus (6th Edition) Blitzer

Published by Pearson
ISBN 10: 0-13446-914-3
ISBN 13: 978-0-13446-914-0

Chapter 2 - Section 2.6 - Rational Functions and Their Graphs - Exercise Set - Page 402: 131


The provided statement is true.

Work Step by Step

In the rational function, the $y$ intercept is determined by putting the value of the $x$ variable as $0$ in the function’s equation and then calculating the value of the y-coordinate. But, there are some rational functions that are not defined at $x=0$. For such functions, $x=0$ is the vertical asymptote, and hence, they don’t have any y-intercept. Example: $y=\frac{1}{{{x}^{2}}}$ has the vertical asymptote at $x=0$. Thus, the given statement is true.
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