Mathematics

Mathematics

Problem

Let f:R→Rf: \mathbb{R} \to \mathbb{R} be a function defined by f(x)=∣∣x+2∣−2∣x∣∣f(x) = ||x + 2| - 2|x|| . If mm is the number of points of local minima and nn is the number of points of local maxima of ff , then m+nm + n is (1) 5 (2) 3 (3) 2 (4) 4

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