Write an equation for a rational function that has Vertical asymptotes at x=-3 and x=6, x intercepts at (-2,0) and (1,0) and a horizontal asymptote at y=-2.

Answer 1

y = -2(x+2)(x-1)/(x+3)(x-6)

or

y=(-2x^2 -2x +4)/(x^2 -3x -18)

yx^2 -3xy -18y = -2x^2 -2x +4

(2+y)x^2 +(2-3y)x -18y = 4