y=x^2-5x+6

Domain= {xeR or 2<x<3 }
Range={ }

What is the range?? please help! thank you.

All polynomials have domain xeR. All reals. Your domain makes no sense. xeR includes all values, including 2<x<3.

Since y = (x - 5/2)^2 - 1/4, its minimum is at y = -1/4. So, the range is all reals y >= -1/4.