Name the Horizontal and Vertical Asymptotes of the Function $f(x)=\frac{3 x}{x^{2}-16}$

Multiple Choice

Name the horizontal and vertical asymptotes of the function $f(x) =\frac{3 x}{x^{2}-16}$ .

A) Horizontal: $\mathrm{y}=3$ ; vertical: $\mathrm{x}=4$ and $\mathrm{x}=-4$ .
B) Horizontal: $\mathrm{y}=0$ ; vertical: $\mathrm{x}=4$ and $\mathrm{x}=-4$ .
C) Horizontal: $\mathrm{y}=0$ ; vertical: $\mathrm{x}=4$ .
D) Horizontal: $\mathrm{y}=3$ ; vertical: $\mathrm{x}=4$ .