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: 32

Answer

$\text{ a function }\\\text{Domain: } \{ -1,1,4 \}\\\text{Range: }\{ -3,0 \}$

Work Step by Step

$\bf{\text{Solution Outline:}}$ To determine if the given points, $\{ (-1,-3),(1,-3),(4,0) \}$ 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. $\bf{\text{Solution Details:}}$ All the $x$-values are used only once in the given set of points. Hence, the given is 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{ a function }\\\text{Domain: } \{ -1,1,4 \}\\\text{Range: }\{ -3,0 \} .\end{array}
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