Determine the number of maximal connected intervals in [-10, 10] where the function f(x) = -1cos(3π(-1(1|((-2x)/(-2x - 2)) + 1| + 3)^2 - 1(1|((-2x)/(-2x - 2)) + 1| + 3) + 3) - 1) - 2 is strictly increasing.

Present the answer in LaTex format: \boxed{Your answer}
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