Answer
Domain: $[-2,2]$
Range: $[-2,2.828]$
Work Step by Step
The expression under the square root must be greater than or equal to zero:
$4-x^2\geq 0$
$x^2\leq4$
$-2\leq x \leq 2$
So the domain is $[-2,2]$
The minimum value of the function is -2 and the maximum is approximately 2.828 so the range is $[-2,2.828]$
