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Question
unit test
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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.
mark this and return
save and exit
Step1: Determine domain condition
The expression under the square root must be non-negative: $-x \geq 0$.
Step2: Solve for x
Multiply both sides by -1 (reverse inequality): $x \leq 0$.
Step3: Analyze range
Square root outputs non-negative values: $f(x) \geq 0$.
Step4: Match with options
Only the third option matches the domain result.
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The domain of the graph is all real numbers less than or equal to 0.