Answer
(a) The domain is $(-\infty,0)\cap(0,\infty)$
(b) The range is $(-\infty,-2]\cap[2,\infty)$
(c) There are no horizontal asymptotes.
(d) The only vertical asymptote is x=0
(e) The only oblique asymptote is $y=-x$
Work Step by Step
The domain is a horizontal span from the function's smallest value of x to the function's largest value of x. If there is a discontinuity, the domain must show where the discontinuity happens. For example, if there is a vertical asymptote on x=3, the domain would be $(-\infty,3)\cap(3,\infty)$
The range is a vertical span from the function's smallest value of f(x) to the function's largest value of f(x). If there is a discontinuity, the range must show where the discontinuity happens. For example, if there is a horizontal asymptote on y=-4, the domain would be $(-\infty,-4)\cap(-4,\infty)$
The x-intercepts are all points of a graph when f(x)=0 while the y-intercepts are all points of a graph when x=0.
Horizontal asymptotes are horizontal lines that approach a graph but never intersect it.
Vertical asymptotes are vertical lines that approach a graph but never intersect it.
Oblique asymptotes are diagonal lines that approach a graph and may intersect it.
