Let max {a, b} denote the maximum of two real numbers a and b. Which of the following statement(s) is/are TRUE about the function f(x) = max{3 - x, x - 1}?
1
It is continuous on its domain
2
It has a local minimum at x = 2.
3
It has a local maximum at x = 2.
4
It is differentiable on its domain