Horizontal versus oblique asymptotes. a) Under what circumstances does a rational function have a horizontal asymptote of y=0 b) Under what circumstances does a rational function have a horizontal asymptote that is not y-0? c) Under what circumstances does a rational function have an oblique asymptote? d) Find horizontal and/or oblique asymptotes for each of the following x-3x+8 1) F(x)= x+1 4 II) G(x)= x+1 3x+4 III) H(x)= x+1 What are the vertical asymptotes for each of the functions F, G, and H in problem 4d?