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The function f(x) = 2 |x| + |x+2| - ||x+2|-2| - |2|x|| has a local minimum or a local maximum at x =

1. -2
2. -2/3
3. 2
4. 2/3

Correct answer: -2

Solution

The function f(x) has a local minimum or maximum at x = -2, which can be determined by analyzing the piecewise behavior of the function and identifying the point where the function changes from decreasing to increasing or vice versa.

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