SHOW ALL WORK PLEASE!

find the domain of the function and identify any vertical and horizontal asymptotes.

1. f(x) = 4/x^2

2. f(x) = x^2+x-2/2x^2+5x+2

identify all intercepts (x and y), find any vertical and horizontal asymptotes, and sketch the graph of the rational function. show all work!

3. f(x) = x/x^2-9

4. f(x) = x^2+5/x

find all zeros (if any) of the rational function.

5. f(x) = 1-(3/x-3)