Write an equation for a rational function with:

Vertical asymptotes of x = 1 and x = - 1

x intercepts of (2,0) and (-5,0)

Horizontal asymptote of y = 7

f (x) = (7 (x-2) (x+5)) / ((x-1) (x+1))

Step-by-step explanation:

The vertical asymptotes should be in the denominator. The x-interceps should be in the numerator. Because the horizontal asymptote is y=7, you have to put 7 in the numerator because the horizontal asymptote is the coefficient of the numerator : the coefficient of the denominator, when we have the same degree of the numerator and the denominator.