Example 13: Write an equation for a rational function with the given characteristics: (a) Vertical asymptotes at x = 5 and x = -5, x-intercepts at (2, 0) and (-1, 0) and y-intercept at (0, 4). (b) Vertical asymptotes at x = -3 and x = 6, x-intercepts at (-2,0) and (1,0) and horizontal asymptote at y = -2