Write an equation for a rational function with: vertical asymptotes at x = 3 and x = -4 x intercepts at x = -1 and x = 5 horizontal asymptote at y = 6

Making a fraction is the easiest way to do this.

The x-intercepts give solutions to a problem that equals zero.

The vertical asymptotes are values x cannot be, in a fraction the denominator can not be zero.

Horizontal asymptotes are the values y approaches. This can be accomplished by making the leading term have a coefficient of 6