Thank you very much. so which one is I am going to input in the calculator? Is it the original function which is x^2 - 2x/x+2 or this
x-4 + 8/X +2?
I solve for the x and y intercept and I got (0,0) & (2,0). are my intercepts correct?
Yes, the upper branch has those intercepts.
You'll want to graph the original rational function. Depending on the graphing calculator you use, you may have to enter the equations for the asymptotes in order to see them.