Answer
The vertical asymptote is the line $x=-3$.
The horizontal asymptote is the line $y=0$.
Work Step by Step
Given $g(x)=\frac{-2}{x+3}$
$x+3=0 $
$x=-3$
The vertical asymptote is the line $x=-3$.
The horizontal asymptote is the line $y=0$.
Make a list of values:
$x=−3→ y=0$
$x=−1→ y=-1$
$x=0→ y=\frac{-2}{3}$
$x=1→ y=-\frac{1}{2}$
$x=3→ y=-\frac{1}{3}$
