Find the absolute maximum and absolute minimum values of the function, if they exist, over the indicated interval, and indicate the x-values at which they occur.f(x) = 6 + x - x2; [0, 1]

A. Absolute maximum = 6.5 at x = 0.5; absolute minimum = 6 at x = 0 and x = 1
B. Absolute maximum = 6.25 at x = 0.5; absolute minimum = 6 at x = 0 and x = 1
C. Absolute maximum = 6.75 at x = 1 and x = 2; absolute minimum = 6 at x = 0.5
D. Absolute maximum = 6.5 at x = 0.5; absolute minimum = 4 at x = 0


Answer: B

Mathematics

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