Precalculus (6th Edition) Blitzer

Published by Pearson
ISBN 10: 0-13446-914-3
ISBN 13: 978-0-13446-914-0

Chapter 2 - Section 2.3 - Polynomial Functions and Their Graphs - Exercise Set - Page 349: 22

Answer

The end behavior of the graph rises to the left and rises to the right.

Work Step by Step

The degree of the given function is $n=4$, which is even. Now consider the leading coefficient of the polynomial function: $\begin{align} & {{a}_{3}}=11 \\ & >0 \end{align}$ Therefore, from the Leading Coefficient Test, the graph rises to the left and rises to the right. That is the same behavior at each end.
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