Question

review passage
find the horizontal asymptote(s) of the function.
question
$f(x) = \frac{5x - 2}{x^2 + 3x - 18}$
select a single answer
horizontal asymptotes $y = -6$ and $y = 3$
no horizontal asymptote
horizontal asymptote $y = 0$
horizontal asymptote $y = 5$

Explanation:

Step1: Compare degrees of numerator/denominator

Degree of numerator ($5x-2$) is $1$, degree of denominator ($x^2+3x-18$) is $2$.

Step2: Apply horizontal asymptote rule

When degree of numerator < degree of denominator, the horizontal asymptote is $y=0$.

Answer:

Horizontal asymptote $y=0$