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 351: 81

Answer

See explanations.

Work Step by Step

If we use a third-degree polynomial function with a negative leading coefficient for the modeling, the end behavior to the right would be $x\to\infty, y\to-\infty$, which would not fit a nonnegative real-world phenomena over a long period of time.
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