Question

find all horizontal asymptotes of the following function.

$f(x)=\frac{5x + 1}{3x^{2}-16x - 35}$

answer attempt 1 out of 2

one horizontal asymptote
no horizontal asymptotes
one horizontal asymptote
two horizontal asymptotes

Explanation:

Step1: Determine the degrees of numerator and denominator

The degree of the numerator \(5x + 1\) (highest power of \(x\)) is \(n = 1\). The degree of the denominator \(3x^{2}-16x - 35\) is \(m=2\).

Step2: Apply the rule for horizontal asymptotes

When \(n

Answer:

One Horizontal Asymptote (\(y = 0\))