# Chapter 2 - Section 2.5 - Introduction to Relations and Functions - 2.5 Exercises - Page 195: 62

$y \text{ is a function of }x \\\text{Domain: } \left( -\infty,\infty \right)$

#### Work Step by Step

$\bf{\text{Solution Outline:}}$ To determine if the given equation, $y=\dfrac{x-3}{2} ,$ is a function, check if $x$ is unique for every value of $y.$ To find the domain, find the set of all possible values of $x.$ $\bf{\text{Solution Details:}}$ For each value of $x,$ dividing the difference of $x$ and $3$ by $2$ will produce a single value of $y.$ Hence, $y$ is a function of $x.$ The variable $x$ can be replaced with any number. Hence, the domain is the set of all real numbers. The given equation has the following characteristics: \begin{array}{l}\require{cancel} y \text{ is a function of }x \\\text{Domain: } \left( -\infty,\infty \right) .\end{array}

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