Intermediate Algebra (12th Edition)

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

Chapter 2 - Review Exercises - Page 210: 44


$\text{ NOT a function }\\\text{Domain: } (-\infty, 0] \\\text{Range: } (-\infty,\infty)$

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 at $x=-1,$ will intersect the graph in more than $1$ point. Hence, the given graph is not a function The $x$-values used in the graph are all numbers less than or equal to $0.$ The $y$-values used in the graph are all real numbers. Hence, the given set has the following characteristics: \begin{array}{l}\require{cancel} \text{ NOT a function }\\\text{Domain: } (-\infty, 0] \\\text{Range: } (-\infty,\infty) .\end{array}
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