Question

What are the vertical and horizontal asymptotes for the function f(x)=(3x^2/x^2-4)

Answer 1

D)horizontal asymptote: y = 3

vertical asymptote: x = –2, x = 2

Explanation:

Answer 2

The vertical asymptotes are calculated by solving the equation dominator=0
x^2-4=0
(x-2)(x+2)=0
x=2 and x=-2 are vertical

The horizontal asymptote is calculated by dividing the leading terms.
3x^2/x^2 = 3
y=3 is horizontal asymptote