# Thread: five 4 part problems...

1. ## five 4 part problems...

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

and thank you soooo much in advance.

2. Originally Posted by eichyess
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

Horizontal asymptotes $\displaystyle \lim_{x\to\pm\infty}f(x)$