Intermediate Algebra (6th Edition)

Published by Pearson
ISBN 10: 0321785045
ISBN 13: 978-0-32178-504-6

Chapter 3 - Section 3.6 - Graphing Piecewise-Defined Functions and Shifting and reflecting Graphs of Functions - Exercise Set - Page 183: 16

Answer

Please see the graph. Domain: $(−∞,0]$ U $[2,∞)$ Range: $[−3,−1]$

Work Step by Step

The left side of the graph (where $x≤0$) is represented by $y=−1$. The right side of the graph (where $x≥2$) is represented by $y=−3$. All real numbers can be used for values of $x$ (except $x$ cannot equal values between $0$ and $2$), and the only possible values for $y$ are $−1$ and $−3$.
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