Answer
shift $\frac{1}{x}$ 2 units to the left.
(a) domain $(-\infty,-2)U(-2,\infty)$
(b) range $(-\infty,0)U(0,\infty)$
(c) increasing $none$
(d) decreasing $(-\infty,-2)U(-2,\infty)$
Work Step by Step
The graph of $f(x)=\frac{1}{x+2}$ can be obtained by shifting $\frac{1}{x}$ 2 units to the left. See graph, we can identify the following:
(a) domain $(-\infty,-2)U(-2,\infty)$
(b) range $(-\infty,0)U(0,\infty)$
(c) increasing $none$
(d) decreasing $(-\infty,-2)U(-2,\infty)$