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

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