# Chapter 2 - Section 2.5 - Introduction to Relations and Functions - 2.5 Exercises: 31

$\text{ a function }\\\text{Domain: } \{ -2,0,3 \}\\\text{Range: }\{ 2,3 \}$

#### Work Step by Step

$\bf{\text{Solution Outline:}}$ To determine if the given points, $\{ (-2,2),(0,3),(3,2) \}$ 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: } \{ -2,0,3 \}\\\text{Range: }\{ 2,3 \} .\end{array}

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