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 352: 105

Answer

False.

Work Step by Step

We know that the first term of the polynomial is ${{a}_{n}}{{x}^{n}},n\text{ odd and }{{a}_{n}}<0$. So, for n to be odd and ${{a}_{n}}<0$ , the value of the expression ${{a}_{n}}{{x}^{n}}$ will always be a negative number with an odd power, which again results in a negative number. Thus, the polynomial should be ideally suitable to describe the phenomena that have negative values over unlimited periods of time.
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