Find the asymptote(s) of the given function.
-$h ( x ) = \frac { 18 x ^ { 2 } } { 6 x ^ { 2 } - 6 }$ horizontal asymptotes(s)
A) None
B) $y = 3$
C) $y = 6$
D) $y = \sqrt { 6 }$

Question

Quizplus · Accepted Answer

Horizontal asymptotes are found by comparing the degrees of the polynomial in the numerator and the denominator. Since both the numerator and the denominator have the highest degree of 2, the horizontal asymptote can be found by dividing the leading coefficients: $ \frac{18}{6} = 3 $. Therefore, the horizontal asymptote is $y = 3$.

Find the Asymptote(s) of the Given Function h(x)=18x26x2−6h ( x ) = \frac { 18 x ^ { 2 } } { 6 x ^ { 2 } - 6 }h(x)=6x2−618x2​

Find the Asymptote(s) of the Given Function $h ( x ) = \frac { 18 x ^ { 2 } } { 6 x ^ { 2 } - 6 }$