Question

graph all vertical and horizontal asymptotes of the rational function.
$f(x)=\frac{-10}{3x-6}$

Explanation:

Step1: Find vertical asymptote

Set denominator to 0: $3x - 6 = 0 \Rightarrow x = 2$

Step2: Find horizontal asymptote

Degree of numerator < degree of denominator: $y = 0$

Answer:

Vertical asymptote: $x = 2$
Horizontal asymptote: $y = 0$
(To graph: Draw a vertical dashed line at $x=2$ and a horizontal dashed line at $y=0$ on the coordinate plane.)