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

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