Determine the number of maximal connected intervals in [-10, 10] where the function f(x) = 5((-3(-2|x - 3|) + 2)/(2(-2|x - 3|) + 3))^2 + 4((-3(-2|x - 3|) + 2)/(2(-2|x - 3|) + 3)) - 3 is strictly increasing.

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