For the given function, find all asymptotes of the type indicated (if there are any)
-$f ( x ) = \frac { 4 x ^ { 2 } + 2 } { 4 x ^ { 2 } - 2 }$, horizontal
A) $y = - 2$
B) $y = 2$
C) $y = 1$
D) None

Question

Quizplus · Accepted Answer

To find horizontal asymptotes, we look at the behavior of the function as $x$ approaches infinity. For the given function, the degrees of the numerator and denominator are the same (both are 2). Thus, the horizontal asymptote is found by dividing the leading coefficients: $y = \frac{4}{4} = 1$.

For the Given Function, Find All Asymptotes of the Type f(x)=4x2+24x2−2f ( x ) = \frac { 4 x ^ { 2 } + 2 } { 4 x ^ { 2 } - 2 }f(x)=4x2−24x2+2​

For the Given Function, Find All Asymptotes of the Type $f ( x ) = \frac { 4 x ^ { 2 } + 2 } { 4 x ^ { 2 } - 2 }$