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Suppose f is continuous on (−∞,∞), and the derivative satisfies: f' (x) < 0 on (−∞,...

Suppose f is continuous on (−∞,∞), and the derivative satisfies: f' (x) < 0 on (−∞, −2) ∪ (3,∞) and f' (x) > 0 on (−2, 3). What can you say about the local extrema of f?

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