Find the horizontal asymptote, if any, of the graph of the rational function.
-$$f ( x ) = \frac { - 25 x } { 5 x ^ { 3 } + x ^ { 2 } + 1 }$$
A) $y = 0$
B) $y = - 5$
C) $y = - \frac { 1 } { 5 }$
D) no horizontal asymptote

Question

Quizplus · Accepted Answer

The degree of the polynomial in the numerator is less than the degree of the polynomial in the denominator, which means as $x$ approaches infinity, the value of $f(x)$ approaches 0. Thus, the horizontal asymptote is $y = 0$.

Find the Horizontal Asymptote, If Any, of the Graph of the Rational