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

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