Question

How do you find all the asymptotes for function `f(x)=(3x^2)/(x^2+3)`?

Answer 1

No vertical asymptote, because (x^2 + 3) is always positive.

Horizontal asymptote: y = 3 when x -> infinity.

graph{(3x^2)/(x^2 + 3) [-10, 10, -5, 5]}