Determine the number of maximal connected intervals in [-10, 10] where the function f(x) = 3cos(1π(2(-3|((1x)/(2x + 2)) - 2| - 1)^2 - 3(-3|((1x)/(2x + 2)) - 2| - 1) + 4) - 3) + 1 is strictly increasing.

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