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Question

Interval in which {x} is monotonically increasing function, where { } is fractional part function -


A

[0,1)

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B

[1 /2, 3 /2 ]

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C

[1,2)

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D

[3 /2 , 5 /2]

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Solution

The correct options are
A

[0,1)


C

[1,2)


When we look at the graph of fractional part function, it goes from [0, 1) in the interval

[I , I+1), where I is an integer. Thus it behaves as a monotonic function in the interval [I , I+1).

Hence, [0,1) & [1,2) and all other intervals like these are the intervals where {x} is monotonically increasing function.


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