Intermediate Algebra (12th Edition)

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

Chapter 2 - Section 2.5 - Introduction to Relations and Functions - 2.5 Exercises - Page 194: 38


$\text{ NOT a function }\\\text{Domain: } [-2,2] \\\text{Range: } [-2,2]$

Work Step by Step

$\bf{\text{Solution Outline:}}$ To determine if the given graph is a function, use the Vertical Line Test. $\bf{\text{Solution Details:}}$ A vertical line drawn at $x=0$ will intersect the given graph in more than $1$ point. By the Vertical Line Test, the given is NOT a function. The domain is the set of all $x$-values, while the range is the set of all $y$-values. Hence, the given set of points has the following characteristics: \begin{array}{l}\require{cancel} \text{ NOT a function }\\\text{Domain: } [-2,2] \\\text{Range: } [-2,2] .\end{array}
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