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7 March, 17:18

Determine the interval (s) at which f (x) is concave down given that f′′ (x) = -2x2+6x+8.

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  1. 7 March, 17:37
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    f'' (x) = - 2 (x + 1) (x - 4) so is negative for x 4

    f (x) is concave downward on the intervals (-∞, - 1) ∪ (4, ∞).
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