Precalculus (6th Edition) Blitzer

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

Chapter 10 - Cumulative Review Exercises - Page 1127: 2

Answer

The required solution is: the relative maximum of $ y=f\left( x \right)$ is at $ x=-2$ and there is no local minimum.

Work Step by Step

From the graph it can be seen that the function is increasing from $\left( -4,-2 \right)$ and then it decreases. Where the graph’s value is higher or lower than the values of its neighborhood, then the coordinates are called the relative maximum or minimum. Also, from the graph, one can say that there is a relative maximum at $ x=-2$ and there is no local minimum. Thus, the relative maximum is at $ x=-2$ and there is no local minimum.
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