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