Precalculus (10th Edition)

Published by Pearson
ISBN 10: 0-32197-907-9
ISBN 13: 978-0-32197-907-0

Chapter 4 - Polynomial and Rational Functions - 4.2 Properties of Rational Functions - 4.2 Assess Your Understanding - Page 199: 65

Answer

A horizontal asymptote only appears if the greatest exponent of the numerator is either less than or equal to the greatest exponent of the denominator and an oblique asymptote will only appear when the greatest exponent of the numerator is greater.

Work Step by Step

Therefore the graph of a rational function cannot have both a horizontal and oblique asymptote.
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