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What is the range of x² + x + 1 over the real numbers?

A[3/4, ∞)
B(-∞, 3/4]
C[1, ∞)
DAll reals
Answer & Solution
Correct answer: A. [3/4, ∞)
The minimum occurs at x = -1/2 and equals 1/4 - 1/2 + 1 = 3/4, and the values rise without bound.
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