Write an equation for a rational function with: Vertical asymptotes at x = -1 and x = 4 x intercepts at x = -6 and x = 5 y intercept at 8

Answer 1

Vertical asymptotes occur at x-values that make the denominator = 0.

X-intercepts occur at x-values that make the numerator = 0.

The y-intercept is the value of the function when x = 0.

So ... f(x) = [16(x + 6)(x - 5)] / [15(x + 1)(x - 4)]