Precalculus (10th Edition)

Published by Pearson
ISBN 10: 0-32197-907-9
ISBN 13: 978-0-32197-907-0

Chapter 11 - Systems of Equations and Inequalities - Chapter Review - Cumulative Review - Page 797: 12

Answer

a) $x\approx -2.28$ b) Maximum: $(-1,7)$; Minimum: $(1,3)$ c) $(-\infty,-1)\cup(1,\infty)$

Work Step by Step

We are given the function: $f(x)=x^3-3x+5$ a) Use a graphing utility to graph $f$: There is a real zero: $x\approx -2.28$ b) There is a local maximum: $x_{max}\approx -1$ $y_{max}\approx 7$ There is a local minimum: $x_{min}\approx 1$ $y_{min}\approx 3$ c) The function is increasing on the intervals: $(-\infty,-1)\cup(1,\infty)$
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