Question

Write a rational equation with the following characteristics:

• x-intercepts at x = 5 and x = -1
• Hole at x = -7
• Vertical asymptotes at x = 2 and x = -3
• Horizontal asymptote at y = 1
• y-intercept at 5/6

Answer 1

An equation with the characteristics: x-intercepts at x = 5 and x = -1, hole at x = -7, vertical asymptotes at x = 2 and x = -3, horizontal asymptote at y = 1, and y-intercept at 5/6 is (x - 5)(x + 1)(x + 7)/(x - 2)(x + 3) = y.

Step-by-step explanation:

An equation with the given characteristics would be: (x - 5)(x + 1)(x + 7)/(x - 2)(x + 3) = y

In this equation, the x-intercepts are at x = 5 and x = -1, the hole is at x = -7, the vertical asymptotes are at x = 2 and x = -3, the horizontal asymptote is at y = 1, and the y-intercept is at 5/6.