Write an equation for a rational function with:

Vertical asymptotes of x = 2 and x = - 3

x intercepts of (-6,0) and (3,0)

Horizontal asymptote of y = 6

Use y as your output variable.

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

Step-by-step explanation:

The vertical asymptote should be in the denominator. The x-interceps should be in the numerator. Because we have horizontal asymptote y=6, then we have to put 6 in the numerator. the horizontal asymptote is the leading coefficient of the numerator : the leading coefficient of the denominator, when the degree of the numerator and denominator are the same.