Intermediate Algebra for College Students (7th Edition)

Published by Pearson
ISBN 10: 0-13417-894-7
ISBN 13: 978-0-13417-894-3

Chapter 2 - Section 2.2 - Graphs of Functions - Exercise Set: 36

Answer

Domain: $[-3, 2]$ Range: $[-5, 5]$

Work Step by Step

Some important observations about the graph: (i) The lowest point is at $(-3, -5)$. (ii) The highest point is at $(2, 5)$. (iii) The graph is increasing from left to right. The domain is the set that contains all the x-values of a function. The x-values included in the given function vary from $-3$ to $2$. Thus, the domain of the given function is $[-3, 2]$. The range of a function is the set of y-values. Notice that the y-values included in the graph of the function vary from $-5$ to $5$. Thus, the range of the function is $[-5, 5]$.
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