Answer
Domain: [-4,4]
Range:[0,4]
Work Step by Step
The domain of the function is [-4,4] because any value greater than 4 would give you a negative number under the square root symbol which is an imaginary number, therefore it is not part of the domain.
The range of the function is [0,4] because you have a square root function which can never be negative.and the function can never be greater than $\sqrt 16$ which is 4.
