## Intermediate Algebra (12th Edition)

$\text{ NOT a function }\\\text{Domain: } (-\infty, 0] \\\text{Range: } (-\infty,\infty)$
$\bf{\text{Solution Outline:}}$ Use the vertical line test to determine if the given graph is a function. The domain is the set of $x$-values and the range is the set of $y$-values. $\bf{\text{Solution Details:}}$ A vertical line drawn at $x=-1,$ will intersect the graph in more than $1$ point. Hence, the given graph is not a function The $x$-values used in the graph are all numbers less than or equal to $0.$ The $y$-values used in the graph are all real numbers. Hence, the given set has the following characteristics: \begin{array}{l}\require{cancel} \text{ NOT a function }\\\text{Domain: } (-\infty, 0] \\\text{Range: } (-\infty,\infty) .\end{array}