Question

The function f(x) = -sqrt x is shown on the graph. Which statement is correct?

Answer 1

Answer:

correct choice is C

Step-by-step explanation:

Consider the parent function $y=\sqrt{x}.$ The domain of this function is $x\ge 0$ (all real numbers greater or equal to 0), the range of this function is $y\ge 0$ (all real numbers greater or equal to 0).

The graph of the function $y=-\sqrt{x}$ can be obtained from the graph of the function $y=\sqrt{x}$ by reflection across the x-axis. This means that the range of the function is refleted too and becomes $y\le 0$ (all real numbers less or equal to 0).

Therefore, correct choice is C