Intermediate Algebra (12th Edition)

Published by Pearson
ISBN 10: 0321969359
ISBN 13: 978-0-32196-935-4

Chapter 2 - Review Exercises: 43

Answer

$\text{ a function }\\\text{Domain: } [-4,4] \\\text{Range: } [0,2]$

Work Step by Step

$\bf{\text{Solution Outline:}}$ Use the vertical line test to determine if the given graph is a function. The domain is the set of $x$-values and the range is the set of $y$-values. $\bf{\text{Solution Details:}}$ A vertical line drawn anywhere will intersect the given graph in at most $1$ point. Hence, the given graph is a function. The $x$-values used in the graph are from $-4$ to $4.$ The $y$-values used in the graph are from $0$ to $2.$ Hence, the given set has the following characteristics: \begin{array}{l}\require{cancel} \text{ a function }\\\text{Domain: } [-4,4] \\\text{Range: } [0,2] .\end{array}
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