Answer
stretch $\frac{1}{x}$ vertically by a factor of 3, then reflect across the x-axis.
(a) domain $(-\infty,0)U(0,\infty)$
(b) range $(-\infty,0)U(0,\infty)$
(c) increasing $(-\infty,0)U(0,\infty)$
(d) decreasing $none$
Work Step by Step
The graph of $f(x)=-\frac{3}{x}$ can be obtained by stretching $\frac{1}{x}$ vertically by a factor of 3, then reflecting across the x-axis. See graph, we can identify the following:
(a) domain $(-\infty,0)U(0,\infty)$
(b) range $(-\infty,0)U(0,\infty)$
(c) increasing $(-\infty,0)U(0,\infty)$
(d) decreasing $none$