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

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