Find the domain and range of the real function `f(x) = sqrt(4-x^(2))`

Explanation

To find the domain and range of the function \( f(x) = \sqrt{4 - x^2} \), we will follow these steps:

### Step 1: Determine the Domain
The domain of a function is the set of all possible input values (x-values) for which the function is defined.

1. The expression under the square root, \( 4 - x^2 \), must be non-negative because the square root of a negative number is not defined in the real number system.
2. Therefore, we set up the inequality:
\[
...