Find asymptotes parallel to axes; (x-2)(x-3)(x+y-2)+x^(2)-x+1=0

Answer 1

2 things will help answer this question

first: solve it for y so that you will have it in the form y=f(x)

second: use your graphing calculator to graph it.

You will immediately see that there are vertical asymptotes at x=2 and x=3

and then that as x gets large (in either direction) f(x) will "approach" 1-x.