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: 28

Answer

$\text{ NOT a function }\\\text{Domain: } \{ -4 \}\\\text{Range: }\{ -4,0,4,8 \}$

Work Step by Step

$\bf{\text{Solution Outline:}}$ To determine if the given table of values is a function, check if all the $x$-values are used only once. The domain is the set of all $x$-values, while the range is the set of all $y$-values. $\bf{\text{Solution Details:}}$ The $x$-value, $-4,$ is used more than once in the given table of values. Hence, 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 table of values has the following characteristics: \begin{array}{l}\require{cancel} \text{ NOT a function }\\\text{Domain: } \{ -4 \}\\\text{Range: }\{ -4,0,4,8 \} .\end{array}
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