SOLUTION: state the domain and range of y=x^2-2x+5

Algebra ->  Functions -> SOLUTION: state the domain and range of y=x^2-2x+5      Log On


   



Question 65280: state the domain and range of y=x^2-2x+5
Answer by amran(4) About Me  (Show Source):
You can put this solution on YOUR website!
The domain is the set of all real number, +-infinity+%3C+x+%3C+%2Binfinity+
y=x^2-2x+5
= x^2-2x+1 + 4
= (x-1)^2 + 4
y will always be greater or equal to 4.
Hence the range is { y : y >= 4 }
+graph%28200%2C200%2C-4%2C5%2C-2%2C20%2C+x%5E2-2x%2B5%29