Find the horizontal asymptote, if any, of the rational function.
-$$f ( x ) = \frac { 5 } { x ^ { 2 } + 2 }$$
A) $y = 5$
B) $y = 0$
C) $x = 0$
D) None

Question

Quizplus · Accepted Answer

The horizontal asymptote of a rational function $f(x) = \frac{p(x)}{q(x)}$ is found by comparing the degrees of the polynomials $p(x)$ and $q(x)$. If the degree of $q(x)$ is greater than the degree of $p(x)$, as in this case (degree of $q(x) = 2$, degree of $p(x) = 0$), the horizontal asymptote is $y = 0$.

Find the Horizontal Asymptote, If Any, of the Rational Function f(x)=5x2+2f ( x ) = \frac { 5 } { x ^ { 2 } + 2 }f(x)=x2+25​

Find the Horizontal Asymptote, If Any, of the Rational Function $f ( x ) = \frac { 5 } { x ^ { 2 } + 2 }$