Find the horizontal asymptote, if any, of the graph of the rational function.
-$$f ( x ) = \frac { 10 x } { 5 x ^ { 2 } + 1 }$$
A) $\mathrm { y } = 0$
B) $\mathrm { y } = 2$
C) $\mathrm { y } = \frac { 1 } { 2 }$
D) no horizontal asymptote

Question

Quizplus · Accepted Answer

The horizontal asymptote of a rational function can be found by comparing the degrees of the numerator and denominator. Here, the degree of the numerator (1) is less than the degree of the denominator (2), which means the horizontal asymptote is y = 0.

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