## Intermediate Algebra (12th Edition)

Published by Pearson

# Chapter 2 - Section 2.5 - Introduction to Relations and Functions - 2.5 Exercises: 17

#### Answer

$\text{ a function }\\\text{Domain: } \{ 3,4,5,7 \}\\\text{Range: }\{ 1,2,6,9 \}$

#### Work Step by Step

$\bf{\text{Solution Outline:}}$ To determine if the given relation, $\{ (5,1),(3,2),(4,9),(7,6) \}$ is a function, check if the first compnents are all unique. The domain is the set of all first components, while the range is the set of all second components. $\bf{\text{Solution Details:}}$ The first components in the given set of ordered pairs are all unique. Hence, the given set is a function. The domain is the set of all first components, while the range is the set of all second components. Hence, the given set of ordered pairs has the following characteristics: \begin{array}{l}\require{cancel} \text{ a function }\\\text{Domain: } \{ 3,4,5,7 \}\\\text{Range: }\{ 1,2,6,9 \} .\end{array}

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