Asked by junior
The function f(x) = Negative Startroot x EndRoot is shown on the graph.
On a coordinate plane, an absolute value graph starts at (0, 0) and goes down and to the left through (4, negative 2).
Which statement is correct?
The domain of the function is all real numbers less than or equal to −1.
The range of the function is all real numbers greater than or equal to 0.
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
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Answer: The range of the function is all real numbers less than or equal to 0.
Reason: f(x) = −√x is defined for x ≥ 0, and √x ≥ 0, so −√x ≤ 0. As x increases without bound, −√x goes to −∞, so the range is (−∞, 0], i.e. all real numbers ≤ 0.
Reason: f(x) = −√x is defined for x ≥ 0, and √x ≥ 0, so −√x ≤ 0. As x increases without bound, −√x goes to −∞, so the range is (−∞, 0], i.e. all real numbers ≤ 0.
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