Civil Engineering > GATE 2022 SET-1 > Mathematics
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.

Correct : a; b

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max function function continuity function differentiability local minimum maximum GATE Civil Engineering 2022 GATE CE 2022 Q45 engineering mathematics properties of max function

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