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: 126


The given statement does not make sense.

Work Step by Step

Let the rational function $f\left( x \right)=\frac{p\left( x \right)}{q\left( x \right)}$ consist of two horizontal and two vertical asymptotes. Then, the degree of the denominator term will be two since the function has two vertical asymptotes. And, for having horizontal asymptotes, the degree of the numerator should be either equal to or less than that of the denominator, and in that case we get a single horizontal asymptote. Thus, it is impossible to have more than one horizontal asymptote. And, therefore the given statement does not make sense.
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.