Question

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

Answer 1

The function can be wirtten as follows

`F(x)=(x-1)^2`

Hence the domain is the set of real numbers `D_f=R`

For the range we notice that

`F(x)=(x-1)^2>=0`

Hence the range is `R_f=[0,+oo)`