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

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