Question

graph all vertical and horizontal asymptotes of the rational function.

$f(x)=\frac{7}{-x + 4}$

Explanation:

Step1: Find vertical asymptote

Set denominator equal to zero: $-x + 4=0$. Solve for $x$: $x = 4$.

Step2: Find horizontal asymptote

Degree of numerator ($0$) < degree of denominator ($1$). So, $y = 0$.

Answer:

Vertical asymptote: $x = 4$, Horizontal asymptote: $y = 0$