# How do you find the domain and range of #f(x) = sqrt(4 - x²)#?

##### 1 Answer

Oct 20, 2015

#### Answer:

Domain:

Range:

#### Explanation:

Domain: the root is well defined only if its argument is non-negative.

So, we must solve

As for the range, we observe that a root is always positive, so since

Also, we observe that