College Algebra (10th Edition)

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

Chapter 5 - Section 5.2 - Properties of Rational Functions - 5.2 Assess Your Understanding: 11

Answer

It will always have a horizontal asymptote in this situation.

Work Step by Step

Recall that the degree of a polynomial is equal to the highest exponent of any of its terms. Thus, if the polynomial in the denominator has a higher degree than the polynomial in the numerator, the function is proper, and it will have a horizontal asymptote.
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