How do you find the domain and range of #p(x)=x^2-2x+10#?
1 Answer
Domain:
Range:
Explanation:
We know that the polynomial is a "U" shape because the coefficient of the
Domain
This is a polynomial hence all real values of
Range
Method 1 (Completing the Square):
Let
Expand the right hand side of the equation and you will get:
Hence
Since
Method 2 (Differentiation)
Find the turning point:
From Method 1 and 2, your minimum point is 9. So the range is