Final answer:
The domain of the function is the set of real numbers between -5 and 5, inclusive. The range of the function is the set of all non-negative real numbers.
Step-by-step explanation:
The domain of a function is the set of all possible values of the independent variable (x) for which the function is defined. In this case, the function is defined as f(x) = √(25 - x²) for -5≤x≤5. Since the square root of a negative number is not defined in the real number system, the domain of this function is the set of real numbers between -5 and 5, inclusive.
The range of a function is the set of all possible values of the dependent variable (y) that can be obtained by evaluating the function for each value in the domain. In this case, the range of the function is the set of all non-negative real numbers, because the expression inside the square root (25 - x²) is always non-negative within the given domain.