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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

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}? (a) It is continuous on its domain. (b) It has a local minimum at x = 2. (c) It has a local maximum at x = 2. (d) It is differentiable on its domain.

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