How would I graph the following rational function with the following properties?
- f is defined for all real numbers except 3 and -3
- f is an even function
- f(1) = 0, and f(0) = -3/2
- as x -> infinity, f(x) -> 2
- as x -> 3^-, f(x) -> infinity, and as x -> 3^+, f(x) -> -infinity
Any help would be appreciated, thanks!