JEE Mathematics Online Test Continuity and Differentiability Set B

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Question 1

Question

where [ . ] represents greatest integer function and { . } represents fractional part of x, then which of the following is true –
(1) f (x) is injective discontinuous function
(2) f (x) is surjective non-differentiable function
(3) max {values of x at which the function is discontinuous} = f (1)

Answer
1 and 2 are correct
1 and 3 are correct
2 and 4 are correct
1, 2 and 3 are correct