Final answer:
None of the functions listed in the question can have a range that includes -4, as square root functions yield non-negative results for real number inputs.
Step-by-step explanation:
The question asks which function's range includes -4, with options being y= √x-5, y = √x+5, y= √x+5, and y= √x-5. However, none of these functions can have -4 in their range because square roots cannot yield negative results. Instead, we can determine that neither of the functions given as choices can have -4 within their range because the square root function (√x) is always non-negative for real numbers. Therefore, all the options presented are incorrect if we assume the functions are based on real numbers, as negative results are not possible from a square root.