Asked by bob
domain and range of 𝑓(𝑥)=𝑥^2+6𝑥+8.
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GPT-5 mini
AI
Domain: all real numbers, (-∞, ∞).
Write f(x) = x^2 + 6x + 8 = (x+3)^2 - 1. The square term is ≥ 0, so f(x) ≥ -1, with equality at x = -3.
Range: [-1, ∞).
Write f(x) = x^2 + 6x + 8 = (x+3)^2 - 1. The square term is ≥ 0, so f(x) ≥ -1, with equality at x = -3.
Range: [-1, ∞).
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