# What is the domain and range of #f(x)= x^2 - 6x + 8#?

##### 2 Answers

Domain:

Range:

#### Explanation:

Domain:

The function does not converge to a certain value ie:

Your domain is

Range:

**Method 1-**

Use **completing the square** method:

Hence you minimum point is

Method 2-

**Differentiate** :

Let

Therefore,

Minimum point is

It is a minimum point because the graph is a "u" shape (coefficient of

Your range takes values between

Domain

Range

#### Explanation:

It is a polynomial function, its domain is all real numbers. In interval notation this can be expressed as

For finding its range, we can solve the equation y=

x-3=

x= 3

Hence range is