Rational Functions

Question

Write an equation for a rational function with:

Vertical asymptotes at x = 3 and x = -4

x-intercepts at x = -3 and x = -1

Horizontal asymptote at y = 7

Answer 1

y = 7(x+3)(x+1)/(x-3)(x+4)

y = 7(x^2 +4x +3)/(x^2 +x -12)

y = (7x^2 +28x +21)//(x^2 +x -12)