Answer
shift $\frac{1}{x^2}$ up 3 units,
(a) domain $(-\infty,0)U(0,\infty)$
(b) range $(3,\infty)$
(c) increasing $(-\infty,0)$
(d) decreasing $(0,\infty)$
Work Step by Step
The graph of $f(x)=\frac{1}{x^2}+3$ can be obtained by shifting $\frac{1}{x^2}$ up 3 units. See graph, we can identify the following:
(a) domain $(-\infty,0)U(0,\infty)$
(b) range $(3,\infty)$
(c) increasing $(-\infty,0)$
(d) decreasing $(0,\infty)$