graph all vertical and horizontal asymptotes of the rational function.\nf(x)=\frac{-10}{x - 2}

Explanation:

Step1: Find vertical asymptote

Set denominator equal to 0. $x - 2=0$ Solve for $x$: $x = 2$. So vertical asymptote is $x = 2$.

Step2: Find horizontal asymptote

Degree of numerator is 0 and degree of denominator is 1. When degree of numerator $<$ degree of denominator, horizontal asymptote is $y = 0$.

Answer:

Vertical asymptote: $x = 2$, Horizontal asymptote: $y = 0$