Find the values of x for which the given function is concave up, the values of x for which the function is concave down, and any points of inflection.y = x4 - x3 + 12

A. Concave down for 0 < x < 2, concave up for x < 0, x > 2, points of inflection at (0, 12) and (2, 8)
B. Concave down for x < 2, concave up for x > 2, point of inflection at (2, 8)
C. Concave up for 0 < x < 2, concave down for x < 0, x > 2, points of inflection at (0, 12) and (2, 8)
D. Concave up for x < 0, concave down for x > 0, point of inflection at (0, 12)


Answer: A

Mathematics

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