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

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