Precalculus (6th Edition) Blitzer

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

Chapter 2 - Review Exercises - Page 430: 29

Answer

Not over an extended period of time.

Work Step by Step

Step 1. The leading term of the function is $-0.87x^3$ with a coefficient of $-0.87$ and an odd power. Thus, we can identify its end behaviors as $x\to\infty, y\to-\infty$; that is, the curve falls to the right. Step 2. This model can be used to predict the number of thefts for a limited number of years if the trend shows a decline of thefts. However, for a long period of time, the value of $f(x)$ will eventually be negative, which will not reflect a realistic situation.
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