Question

Given no other restrictions what are the domain and range of the following function f(x)=x^2-2x+2

Answer 1

R= y>=1

Explanation:

D = all real numbers R= y>=1.

All polynomials have domain of all real numbers.

For the range, the vertex format is useful;

Y= (X-1)^2 + 1

Since (X-1) is never less than zero, Y>=1.

That is where the vertex is, at Y=1