College Algebra (10th Edition)

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

Chapter 5 - Section 5.1 - Polynomial Functions and Models - 5.1 Assess Your Understanding: 12

Answer

It will behave like $y=3x^4$.

Work Step by Step

When considering behavior at infinity, we consider the highest degree of x in the function, for at infinity, the lower degrees of x will be negligible compared to the larger degrees of x. Thus, because the term with the highest degree is $3x^4$, we know that the function will behave like $3x^4$.
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