Write one example of a rational function that meets the following characteristics. (Note: The denominator cannot be a constant, and the numerator and denominator cannot have any common factors ). include a sketch of the graph underneath each of your equations. Submit your four functions and their graphs. Each of the following cases are separate from each other:

A) A rational function f(x) with vertical asymptotes at x=2 and x=10, and a horizontal asymptote y=0

B) A rational function g(x) that has a horizontal asymptote at y=7

C) A rational function k(x) that does NOT have any vertical asymptotes (Hint: what is an example of a polynomial with no zeros?)

D) A rational function h(x) such that h(x) -> + as x -> 0 and h(x) such that h(x) -> as x -> 0+