Answer
The vertical asymptote is the line $x=0$.
The horizontal asymptote is the line $y=0$.
Work Step by Step
Given: $\frac{3}{x}$
$x=0$
The vertical asymptote is the line $x=0$.
The horizontal asymptote is the line $y=0$.
Make a list of values:
$x=-3 \rightarrow y=-1$
$x=-1 \rightarrow y=-3$
$x=1\rightarrow y=3$
$x=3 \rightarrow y=1$