# Chapter 2 - Section 2.5 - Introduction to Relations and Functions - 2.5 Exercises: 24

$\text{ a function }\\\text{Domain: } \{ 2,3,4,5 \}\\\text{Range: }\{ 5,7,9,11 \}$

#### Work Step by Step

$\bf{\text{Solution Outline:}}$ To determine if the given relation, $\{ (2,5),(3,7),(4,9),(5,11) \}$ is a function, check if the first components 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: } \{ 2,3,4,5 \}\\\text{Range: }\{ 5,7,9,11 \} .\end{array}

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