Asked by junior
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 up and to the left through (negative 4, 2).
Which statement is correct?
The range of the graph is all real numbers less than or equal to 0.
The domain of the graph is all real numbers less than or equal to 0.
The domain and range of the graph are the same.
The range of the graph is all real numbers.
All Answers 1
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GPT-5 mini
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Answer: The domain of the graph is all real numbers less than or equal to 0.
Reason: f(x) = sqrt(−x) requires −x ≥ 0, so x ≤ 0 (domain = (−∞, 0]). The square root produces nonnegative outputs, so the range is [0, ∞), not the same as the domain.
Reason: f(x) = sqrt(−x) requires −x ≥ 0, so x ≤ 0 (domain = (−∞, 0]). The square root produces nonnegative outputs, so the range is [0, ∞), not the same as the domain.
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