Question

unit test
unit test complete
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which statement is true about the function f(x)=√(-x)?
the domain of the graph is all real numbers.
the range of the graph is all real numbers.
the domain of the graph is all real numbers less than or equal to 0.
the range of the graph is all real numbers less than or equal to 0.
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Explanation:

Step1: Determine domain condition

Square root requires non-negative input: $-x \geq 0$

Step2: Solve domain inequality

Multiply both sides by -1 (reverse inequality): $x \leq 0$

Step3: Determine range

Square root outputs non-negative values: $f(x) \geq 0$

Step4: Match with options

Domain is $x \leq 0$, so option C is true.

Answer:

C. The domain of the graph is all real numbers less than or equal to 0.