Question

On a coordinate plane, an absolute value graph starts at (0, 0) and goes up and to the left through (negative 4, 2).
The function f(x) = StartRoot negative x EndRoot is represented by the graph. Which statement is correct?

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

Answer 1

f(x) = √(−x) requires −x ≥ 0, so x ≤ 0 (domain). The square root yields nonnegative outputs, so range y ≥ 0.

Therefore the correct statement is: "The range of the function is all real numbers greater than or equal to 0."