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