College Algebra 7th Edition

Published by Brooks Cole
ISBN 10: 1305115546
ISBN 13: 978-1-30511-554-5

Chapter 2, Functions - Section 2.3 - Getting Information from the Graph of a Function - 2.3 Exercises: 43

Answer

(a) maximum: $(0,2)$, minimums: $(-2,-1)$ and $(2,0)$ (b) increasing: $(-2,0)$ and $(2,\infty)$ decreasing: $(-\infty,-2)$ and $(0,2)$

Work Step by Step

(a) We see from the graph that the function has a local maximum (a peak) at $(0,2)$ and local minimums (troughs) at $(-2,-1)$ and $(2,0)$. (b) We see from the graph that the function is increasing for $x$ intervals $(-2,0)$ and $(2,\infty)$ and decreasing for $x$ intervals $(-\infty,-2)$ and $(0,2)$.
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