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: 44

Answer

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

Work Step by Step

(a) We see from the graph that the function has local maximums (peaks) at $(-2,2)$ and $(2,1)$ and a local minimum (trough) at $(0,-1)$. (b) We see from the graph that the function is increasing for $x$ intervals $(-\infty,-2)$ and $(0,2)$ and decreasing for $x$ intervals $(-2,0)$ and $(2,\infty)$.
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