Give the equation of the horizontal asymptote, if any, of the function.
-$$f ( x ) = \frac { 16 x ^ { 5 } - 4 } { x - x ^ { 3 } }$$
A) $y = - 16$
B) $y = - 1 , y = 1$
C) $y = 0$
D) no horizontal asymptotes

Question

Quizplus · Accepted Answer

Horizontal asymptotes are found by analyzing the behavior of a function as $x$ approaches infinity or negative infinity. For rational functions, if the degree of the numerator is greater than the degree of the denominator, there are no horizontal asymptotes, which is the case here (degree 5 in the numerator vs. degree 3 in the denominator).

Give the Equation of the Horizontal Asymptote, If Any, of the Function