Answer:
correct choice is C
Step-by-step explanation:
Consider the parent function [tex]y=\sqrt{x}.[/tex] The domain of this function is [tex]x\ge 0[/tex] (all real numbers greater or equal to 0), the range of this function is [tex]y\ge 0[/tex] (all real numbers greater or equal to 0).
The graph of the function [tex]y=-\sqrt{x}[/tex] can be obtained from the graph of the function [tex]y=\sqrt{x}[/tex] by reflection across the x-axis. This means that the range of the function is refleted too and becomes [tex]y\le 0[/tex] (all real numbers less or equal to 0).
Therefore, correct choice is C
