Intermediate Algebra (12th Edition)

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

Chapter 2 - Review Exercises: 41

Answer

$\text{ NOT a function }\\\text{Domain: } \{ -4,1 \} \\\text{Range: } \{-5,-2,2,5\}$

Work Step by Step

$\bf{\text{Solution Outline:}}$ If the first components of the given set, $ \{(-4,2),(-4,-2),(1,5),(1,-5) \}$ do not repeat (is unique), then the set defines a function. The domain is the set of all first components and the range is the set of second components. $\bf{\text{Solution Details:}}$ The first components, $-4$ and $1$ are used more than once. Hence the set does not define a function. The domain is the set of all first components and the range is the set of second components. Hence, the given set has the following characteristics: \begin{array}{l}\require{cancel} \text{ NOT a function }\\\text{Domain: } \{ -4,1 \} \\\text{Range: } \{-5,-2,2,5\} .\end{array}
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