Answer
It is a function.
Domain = $(-\infty, 3)$ $\cup$ $(3, \infty)$
Range = $(-\infty, 0)$ $\cup$ $(0, \infty)$
Work Step by Step
Refer to the curve $y = \frac{2}{(x – 3)}$ in Graph I, it is a function because
by way of Vertical Line Test, each vertical line drawn will not intersect the curve on the graph in more than one point, so, the equation defines a function.
For $y = \frac{2}{(x – 3)}$, one corresponding value of y can always be found for any choice of x in the domain of $(-\infty, 3)$ $\cup$ $(3, \infty)$.
y will be any real number with range $(-\infty, 0)$ $\cup$ $(0, \infty)$.
