Give the equation of the horizontal asymptote, if any, of the function.
-$$h ( x ) = \frac { 9 x - 4 } { x - 4 }$$
A) $y = 0$
B) $y = 9$
C) $y = 4$
D) no horizontal asymptotes

Question

Quizplus · Accepted Answer

The horizontal asymptote of a rational function can be found by comparing the degrees of the numerator and denominator. If the degrees are the same, the horizontal asymptote is the ratio of the leading coefficients. Here, both the numerator and denominator are of degree 1, and the leading coefficients are 9 and 1, respectively. Therefore, the horizontal asymptote is $y = \frac{9}{1} = 9$.

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