# 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