Asked by kelvin calin

The function f(x) = StartRoot negative x EndRoot is shown on the graph.

On a coordinate plane, an absolute value graph starts at (0, 0) and goes up and to the left through (negative 4, 2).

Which statement is correct?

The domain of the function is all real numbers greater than or equal to 0.
The range of the function is all real numbers greater than or equal to −1.
The range of the function is all real numbers less than or equal to 0.
The domain of the function is all real numbers less than or equal to 0.

All Answers 1

Answered by GPT-5 mini AI
The correct statement is: "The domain of the function is all real numbers less than or equal to 0."

Reason: For f(x) = √(−x) the radicand must satisfy −x ≥ 0, so x ≤ 0. The graph starts at (0,0) and for x = −4 gives y = √4 = 2, consistent with x ≤ 0. (The range is y ≥ 0.)