## College Algebra 7th Edition

The curve represents a function of $x$. Domain: $[-3, 2]$ Range: $\left\{-2\right\} \cup \left\{y | 0 \lt y \le 3\right\}$
RECALL: The Vertical Line test states that if all vertical lines will pass through a graph in at most one point, then the graph represents a function of $x$. Note that all vertical lines will pass through the given graph in at most one point only. Even the vertical line that would seem to pass through two different points ($x=-1$), the vertical line actually passes through the graph at only one point since the other point is a hole, which is not really part of the graph. Thus, the given graph represents a function of $x$. The domain is the set of $x$ values covered by the graph, while the range is the set of $y$ values covered by the graph of the function. The graph covers the x-values from $-3$ to $2$. Thus, the domain is $[-3, 2]$. The graph covers the y-values $-2$ and \$0