Answer
False
Work Step by Step
Considering the terms in the numerator and the denominator with the highest degrees, we find:
$$\frac{3x^4}{x^2}=3x^2$$
Thus, the function does not behave like a cubic function at infinity.
Functions Modeling Change: A Preparation for Calculus, 5th Edition
by Connally, Eric; Hughes-Hallett, Deborah; Gleason, Andrew M.; Cheifetz, Phil C.
Published by
Wiley
ISBN 10:
1118583191
ISBN 13:
978-1-11858-319-7
Chapter 11 - Polynomial and Rational Functions - Strengthen Your Understanding - Page 490: 37
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