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: 33

Answer

(a) domain: $[-3,3]$, range: $[-2,2]$ (b) increasing: $(-2,-1)$ and $(1,2)$ decreasing: $(-3,-2)$, $(-1,1)$ and $(2,3)$

Work Step by Step

(a) The domain consists of the values that $x$ takes on and the range consists of values that $y$ takes on. We see from the graph that the domain is: $[-3, 3]$ and the range is: $[-2, 2]$. (b) We see from the graph that the function is increasing for $x$ intervals $(-2,-1)$ and $(1,2)$ and decreasing for $x$ intervals $(-3,-2)$, $(-1,1)$ and $(2,3)$.
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