Write a function with the following characteristics: 1. A vertical asymptote at x = 3 A horizontal asymptote at y = 2 An x-intercept at x=-5 2. A vertical asymptote at x=-1 An oblique asymptote at y = x + 2

1. The vertical asymptote requires the denominator have a zero at that location. The x-intercept requires the numerator have a zero at that location. The horizontal asymptote amounts to a multiplier of the function:

... y = 2 (x + 5) / (x - 3)

2. The vertical asymptote requires the denominator have a zero at that location. The oblique asymptote is an add-on

... y = 1 / (x + 1) + (x + 2)

... y = (x² + 3x + 3) / (x + 1)