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 =
x3 - 12x2 + 10x + 43
A. Concave down for 0 < x < 3, concave up for x < 0, x > 3, points of inflection at (0, 43), (3, 1)
B. Concave down for all x, no points of inflection
C. Concave up for x < 3, concave down for x > 3, point of inflection at (3, 1)
D. Concave down for x < 3, concave up for x > 3, point of inflection at (3, 1)
Answer: D
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