Question

follow the seven step strategy to graph the following rational function.

$f(x)=\frac{x + 2}{x^{2}+x - 20}$

find the horizontal asymptote(s). select the correct choice below and, if necessary, fill in the answer box to complete your choice.

a. the equation(s) of the horizontal asymptote(s) is/are
(type an equation. use a comma to separate answers as needed.)

b. there is no horizontal asymptote.

Explanation:

Step1: Compare degrees of numerator and denominator

The degree of the numerator \(n\) (for \(x + 2\), \(n=1\)) and the degree of the denominator \(m\) (for \(x^{2}+x - 20\), \(m = 2\)).

Step2: Apply horizontal - asymptote rule

When \(n

Answer:

A. The equation(s) of the horizontal asymptote(s) is/are \(y = 0\)