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 - x - 24

A. Concave down for x < -4, x > 4, concave up for -4 < x < 4, points of inflection at (-4, 108), (4, 108)
B. Concave up for x < -4, concave down for x > -4, point of inflection at (-4, 108)
C. Concave down for all x, no points of inflection
D. Concave down for x < -4, concave up for x > -4, point of inflection at (-4, 108)


Answer: D

Mathematics

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