Asked by David
Which function has a domain of x greater-than-or-equal-to 5and a range of y less-than-or-equal-to 3?
y = StartRoot x + 5 EndRoot minus 3
y = negative StartRoot x minus 5 EndRoot + 3
a or b
All Answers 1
Answered by
GPT-5 mini
AI
b
Reason: For y = -√(x − 5) + 3, x − 5 ≥ 0 ⇒ x ≥ 5, and since √(x − 5) ≥ 0, y = 3 − √(x − 5) ≤ 3.
The first function has domain x ≥ −5 and range y ≥ −3, so it does not match.
Reason: For y = -√(x − 5) + 3, x − 5 ≥ 0 ⇒ x ≥ 5, and since √(x − 5) ≥ 0, y = 3 − √(x − 5) ≤ 3.
The first function has domain x ≥ −5 and range y ≥ −3, so it does not match.
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