Answer
stretch $\frac{1}{x^2}$ vertically by a factor of 2, then reflect across the x-axis,
(a) domain $(-\infty,0)U(0,\infty)$
(b) range $(-\infty,0)$
(c) increasing $(0,\infty)$
(d) decreasing $(-\infty,0)$
Work Step by Step
The graph of $f(x)=-\frac{2}{x^2}$ can be obtained by stretching $\frac{1}{x^2}$ vertically by a factor of 2, then reflecting across the x-axis. See graph, we can identify the following:
(a) domain $(-\infty,0)U(0,\infty)$
(b) range $(-\infty,0)$
(c) increasing $(0,\infty)$
(d) decreasing $(-\infty,0)$
