For a real number 'a', if a real valued function f(x) = 4x3 + ax2 + 3x - 2 is monotonic in its domain, then the range of 'a' is:

The function f: ℝ → ℝ given by f(x) = x3 is:

Find the value of [-2.3] (greatest integer function of -2.3).

If 2f(x) + f(1-x) = x, then what is f(x) equal to?