## Intermediate Algebra (12th Edition)

$y \text{ is a function of }x \\\text{Domain: } (-\infty,\infty)$
$\bf{\text{Solution Outline:}}$ To determine if the given equation, $y=2x-6 ,$ is a function, check if every value of $x$ will produce a different value of $y.$ To find the domain, find the set of all possible values of $x.$ $\bf{\text{Solution Details:}}$ For each value of $x,$ multiplying it by $2$ and then subtracting $6$ will produce a different 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. Hence, the given equation has the following characteristics: \begin{array}{l}\require{cancel} y \text{ is a function of }x \\\text{Domain: } (-\infty,\infty) .\end{array}