Answer
(a) See graph (red).
(b) domain $\{x|x\ne-3\}$, range $\{y|y\ne-2\}$.
(c) vertical asymptote $x=-3$, horizontal asymptote $y=-2$.
Work Step by Step
(a) To obtain the graph of $y=\frac{1}{x+3}-2$ from $y=\frac{1}{x}$, shift the curve 3 units to the left, then 2 units down. See graph (red).
(b) We can find the domain $\{x|x\ne-3\}$, range $\{y|y\ne-2\}$.
(c) We can identify the vertical asymptote $x=-3$, horizontal asymptote $y=-2$.
