1. horizontal versus oblique asymptote
a. under what circumstances does a rational function have ahorizontal asymptote of y=0
b. under what circumstances does a rational function have ahorizontal asymptote that is not y=0
c. under what circumstances does a rational function have anoblique asymptote
d. find horizontal and /or oblique asymptote for each of thefollowing
i. f(x)=x^2-3x+8/x+1
ii. g(x)=4/x+1
iii. h(x)=3x+4/x+1
e. what are the vertical asymptote for each of the functions f,g, and h in problem 1d?
