Question

graph all vertical and horizontal asymptotes of the rational function.
$f(x)=\frac{-7}{4x+10}$

Explanation:

Step1: Find vertical asymptote

Set denominator to 0: $4x + 10 = 0$ → $x = -\frac{5}{2} = -2.5$

Step2: Find horizontal asymptote

Degree of numerator < denominator: $y = 0$

Answer:

Vertical asymptote: $x = -2.5$; Horizontal asymptote: $y = 0$
(Graph: Draw a dashed vertical line at $x=-2.5$ and a dashed horizontal line at $y=0$ on the grid.)