Answer
(a) $[-2,0)\cap(0,\infty)$
(b) There are no x nor y-intercepts.
(c) See below
(d) $(0,\infty)$
(e) No, the function is not continuous on its domain. It has a hole-type discontinuity.
Work Step by Step
Recap:
The domain is a horizontal span from the function's smallest value of x to the function's largest value of x.
The x-intercepts are all points of a function where f(x)=0 while the y-intercepts are all points of a function where x=0.
The range is a vertical span from the function's smallest value of f(x) to the function's largest value of f(x).
A function is continuous if there are no parts that are cut out.