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: 54

Answer

See graph, local maximum $f(0)=5$, local minimum $f(2)=1$, increasing on $(-1,0), (2,3)$, decreasing on $(0,2)$.

Work Step by Step

Step 1. See graph for $f(x)=x^3-3x^2+5$, Step 2. We can find a local maximum $f(0)=5$, a local minimum $f(2)=1$, Step 3. the function is increasing on $(-1,0), (2,3)$, decreasing on $(0,2)$.
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