For the given function, find all asymptotes of the type indicated (if there are any)
-$f ( x ) = \frac { 2 x ^ { 2 } - 8 x - 3 } { 9 x ^ { 2 } - 7 x + 7 }$, horizontal
A) $y = 8 / 7$
B) $y = 0$
C) $y = 2 / 9$
D) None

Question

Quizplus · Accepted Answer

To find the horizontal asymptote of the given rational function, we compare the degrees of the polynomials in the numerator and the denominator. Since both the numerator and the denominator are of degree 2, the horizontal asymptote is found by dividing the leading coefficients of the numerator and the denominator. Thus, the horizontal asymptote is $y = \frac{2}{9}$.

For the Given Function, Find All Asymptotes of the Type f(x)=2x2−8x−39x2−7x+7f ( x ) = \frac { 2 x ^ { 2 } - 8 x - 3 } { 9 x ^ { 2 } - 7 x + 7 }f(x)=9x2−7x+72x2−8x−3​

For the Given Function, Find All Asymptotes of the Type $f ( x ) = \frac { 2 x ^ { 2 } - 8 x - 3 } { 9 x ^ { 2 } - 7 x + 7 }$