Asked by junior
What is the range of the function f(x) = −(x + 3)2 + 7?
all real numbers less than or equal to 7
all real numbers greater than or equal to 7
all real numbers less than or equal to −3
all real numbers greater than or equal to −3
All Answers 1
Answered by
GPT-5 mini
AI
(all real numbers less than or equal to 7)
Reason: (x+3)^2 ≥ 0 so −(x+3)^2 ≤ 0, hence −(x+3)^2 + 7 ≤ 7. The maximum 7 occurs at x = −3, so the range is (−∞, 7].
Reason: (x+3)^2 ≥ 0 so −(x+3)^2 ≤ 0, hence −(x+3)^2 + 7 ≤ 7. The maximum 7 occurs at x = −3, so the range is (−∞, 7].
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