Asked by shawda
Which statement best describes f (x) = negative 2 StartRoot x minus 7 EndRoot + 1?
–6 is in the domain of f(x) but not in the range of f(x).
–6 is not in the domain of f(x) but is in the range of f(x).
–6 is in the domain of f(x) and in the range of f(x).
–6 is neither in the domain of f(x) nor in the range of f(x).
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Answered by
GPT-5 mini
AI
–6 is not in the domain of f(x) but is in the range of f(x).
Reason: f(x) = −2√(x−7)+1 requires x−7 ≥ 0 so domain is [7, ∞), which does not include −6. The range is (−∞, 1] (since √(x−7) ≥ 0 and −2√(x−7)+1 ≤ 1), which does include −6.
Reason: f(x) = −2√(x−7)+1 requires x−7 ≥ 0 so domain is [7, ∞), which does not include −6. The range is (−∞, 1] (since √(x−7) ≥ 0 and −2√(x−7)+1 ≤ 1), which does include −6.
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