# How do you find the domain and range of F(x) = x^2 - 2x + 1?

The function can be wirtten as follows

$F \left(x\right) = {\left(x - 1\right)}^{2}$

Hence the domain is the set of real numbers ${D}_{f} = R$

For the range we notice that

$F \left(x\right) = {\left(x - 1\right)}^{2} \ge 0$

Hence the range is ${R}_{f} = \left[0 , + \infty\right)$