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3. The function f(x) = x2(x2 − 2x − 36) is defined on all real numbers....

3. The function f(x) = x2(x2 − 2x − 36) is defined on all real numbers. On what subset of the real numbers is f(x) concave down?

(a) (−2, 3) (b) (−3, 2) (c) (−∞, −3) ∪ (2, ∞) (d) Nowhere (e) (−∞, −2) ∪ (3, ∞)

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