Answer
(a) See graph.
(b) $(-\infty,-1)U(-1,\infty)$, $(-\infty,2)U(2,\infty)$
(c) $x=-1$, $y=2$
Work Step by Step
(a) To obtain the graph of $F(x)=2-\frac{1}{x+1}$ from $y=\frac{1}{x}$, shift the curve 1 unit to the left, reflect across the x-axis, then shift 2 units up. See graph.
(b) Based on the graph, we can find the domain as $(-\infty,-1)U(-1,\infty)$ and range as $(-\infty,2)U(2,\infty)$
(c) We can identify the vertical asymptote $x=-1$, horizontal asymptote $y=2$, or oblique asymptote $none$.
