Answer
Horizontal asymptote: $y=-4$
Vertical asymptotes: $x=-2$ and $x=2$
Domain:$(-\infty,-2)\cup (-2,2)\cup(2,\infty)$
Work Step by Step
From the given graph, horizontal asymptote is $y=-4$ and vertical asymptotes are $x=-2$ and $x=2$.
So, the domain is:
$$(-\infty,-2)\cup (-2,2)\cup(2,\infty)$$