a: state the domain of the function

b: identify all intercepts

c: find any vertical and horizontal asymptotes

d: plot additional solution points as needed to sketch the graph of the rational function

1: f(x) = 1/x-3

2: P(x) = 1-3x/1-x

3: f(x) = x^2+3x/x^2+x-6

4: f(x) = 5(x+4)/x^2+x-12

5: f(x) = x^2-16/x-4

show work please.

and thank you soooo much in advance.