Determine the number of maximal connected intervals in [-10, 10] where the function f(x) = (-3(2(-1(1cos(1πx - 1) + 3)^2 - 5(1cos(1πx - 1) + 3) - 4) + 1) + 3)/(-2(2(-1(1cos(1πx - 1) + 3)^2 - 5(1cos(1πx - 1) + 3) - 4) + 1) - 2) is strictly increasing.

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