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

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