Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (3rd Edition)

Published by Pearson
ISBN 10: 0-32193-104-1
ISBN 13: 978-0-32193-104-7

Chapter 1 - Functions and Their Graphs - Section 1.3 Properties of Functions - 1.3 Assess Your Understanding - Page 75: 53

Answer

See graph, local maximum $f(-1)=4$, local minimum $f(1)=0$, increasing on $(-2,-1), (1,2)$, decreasing on $(-1,1)$.

Work Step by Step

Step 1. See graph for $f(x)=x^3-3x+2$, Step 2. We can find a local maximum $f(-1)=4$, a local minimum $f(1)=0$, Step 3. the function is increasing on $(-2,-1), (1,2)$, decreasing on $(-1,1)$.
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