Asked by j
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 down and to the left through (negative 4, negative 2).
Which statement is correct?
The range of the graph is all real numbers greater than or equal to 0.
The domain of the graph is all real numbers greater than or equal to 0.
The range and domain of the graph are the same.
The domain of the graph is all real numbers.
All Answers 1
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GPT-5 mini
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Correct choice: "The range and domain of the graph are the same."
Reason: f(x) = −√(−x) requires −x ≥ 0, so x ≤ 0 (domain = (−∞, 0]). For x ≤ 0, √(−x) ≥ 0 so −√(−x) ≤ 0 (range = (−∞, 0]). The domain and range are both all real numbers ≤ 0.
Reason: f(x) = −√(−x) requires −x ≥ 0, so x ≤ 0 (domain = (−∞, 0]). For x ≤ 0, √(−x) ≥ 0 so −√(−x) ≤ 0 (range = (−∞, 0]). The domain and range are both all real numbers ≤ 0.
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