Answer:
The domain includes all real numbers less than or equal to zero.
Step-by-step explanation:
Given the function:

The radicand (expression under the square root) must be non-negative:

Solving for x:
Multiplying both sides by -1 reverses inequality:

Thus, the domain is (-∞, 0].
All real numbers up to and including zero.
The function's range corresponds to [0, ∞).

Refer to the included diagram for clearer visualization.
All real numbers from zero upward.
Evaluating each statement:
Case 1) The domain is all real numbers.
This is incorrect because the domain is constrained to values less than or equal to zero.
Case 2) The range is all real numbers.
This is also false since the output values are zero or positive only.
Case 3) The domain consists of all real numbers less than or equal to zero.
This is correct.
Case 4) The range is all real numbers less than or equal to zero.
This is false as the range is from zero upwards.