Answer
(a) See graph.
(b) $(-\infty,0)U(0,\infty)$, $(-\infty,1)$
(c) $x=0$, $y=1$
Work Step by Step
(a) To obtain the graph of $R(x)=\frac{x^2-4}{x^2}=1-\frac{4}{x^2}$ from $y=\frac{1}{x^2}$, stretch the curve vertically by a factor of 4, reflect across the x-axis, then shift 1 unit up. See graph.
(b) Based on the graph, we can find the domain as $(-\infty,0)U(0,\infty)$ and range as $(-\infty,1)$
(c) We can identify the vertical asymptote $x=0$, horizontal asymptote $y=1$, or oblique asymptote $none$.