Question

graph all vertical and horizontal asymptotes of the rational funct

$f(x)=\frac{-7}{4 x-2}$

Explanation:

Step1: Find the vertical asymptote

Set the denominator equal to zero: \(4x - 2=0\). Solve for \(x\): \(4x=2\), so \(x = \frac{1}{2}\).

Step2: Find the horizontal asymptote

Since the degree of the numerator (\(0\)) is less than the degree of the denominator (\(1\)), the horizontal asymptote is \(y = 0\).

Answer:

Vertical asymptote: \(x=\frac{1}{2}\), Horizontal asymptote: \(y = 0\)