Question

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

• A. [0,1)
• B. [1 /2, 3 /2 ]
• C. [1,2)
• D. [3 /2 , 5 /2]

Answer 1

Answer: (A), (C)

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.