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: 59

Answer

See graph, local maximum $f(0)=3$, local minima $f(-1.87)=0.95$ and $f(0.97)=2.65$, increasing on $(-1.87,0),(0.97,2)$, decreasing on $(-3,-1.87),(0,0.97)$.

Work Step by Step

Step 1. See graph for $f(x)=0.25x^4+0.3x^3-0.9x^2+3$ on $(-3,2)$, Step 2. We can find a local maximum $f(0)=3$, local minima $f(-1.87)=0.95$ and $f(0.97)=2.65$, Step 3. the function is increasing on $(-1.87,0),(0.97,2)$, decreasing on $(-3,-1.87),(0,0.97)$.
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