Answer
(a) See graph.
(b) $(-\infty,0)U(0,\infty)$, $(3,\infty)$
(c) $x=0$, $y=3$
Work Step by Step
(a) To obtain the graph of $F(x)=3+\frac{1}{x^2}$ from $y=\frac{1}{x^2}$, shift the curve 3 units up. See graph.
(b) Based on the graph, we can find the domain as $(-\infty,0)U(0,\infty)$ and range as $(3,\infty)$
(c) We can identify the vertical asymptote $x=0$, horizontal asymptote $y=3$, or oblique asymptote $none$.