Give the equations of any horizontal asymptotes.
-$$h ( x ) = \frac { 27 x ^ { 2 } } { 9 x ^ { 2 } - 8 }$$
A) $y = \sqrt { 8 }$
B) $y = 3$
C) $y = 8$
D) none

Question

Quizplus · Accepted Answer

The horizontal asymptote of a rational function can be found by comparing the degrees of the numerator and the denominator. If the degrees are the same, the horizontal asymptote is the ratio of the leading coefficients. Here, both the numerator and the denominator have the highest degree terms of $x^2$, so the horizontal asymptote is $y = \frac{27}{9} = 3$.

Give the Equations of Any Horizontal Asymptotes h(x)=27x29x2−8h ( x ) = \frac { 27 x ^ { 2 } } { 9 x ^ { 2 } - 8 }h(x)=9x2−827x2​

Give the Equations of Any Horizontal Asymptotes $h ( x ) = \frac { 27 x ^ { 2 } } { 9 x ^ { 2 } - 8 }$