Answer:
(a) x = -2
(d) y = 0
Step-by-step explanation:
You want the asymptote(s) of the graph of the function.
Asymptotes
An asymptote is a value that a function approaches, but never reaches. Asymptotes may be horizontal, vertical, or "slant", and are often associated with exponential, log, or rational functions.
Application
The graph shows a vertical asymptote at x = -2. The graph approaches -∞ as x approaches -2 from the left, and it approaches +∞ as x approaches -2 from the right.
The graph shows a horizontal asymptote at y = 0. The graph approaches 0 as x takes on large negative values.
The asymptotes of the graph are x = -2 and y = 0.
__
Additional comment
An exponential function will have an asymptote at y=0. A log function will have an asymptote at x=0. Rational functions will have vertical asymptotes where denominator zeros are not matched by numerator zeros. (Matched zeros result in a "hole" in the graph.)
A rational function will have a horizontal asymptote when the numerator degree is equal to or less than the denominator degree. There will be a "slant" asymptote when the numerator has degree one higher than the denominator.
