A complete graph should include all extrema, asymptotes, and intercepts.

Question

Graph y = (x²−2x)/(x²+2x+1)

Answer 1

This function has a discontinuity at x=-1 where the function "blows up" (unbounded positively)

It has zeros at x=0 and x=2 and a minimum point between 0 and 2.

It goes asymptotically to 1 as as gets large either positively or negatively.