Question

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

Answer 1

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

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.