Which of the following can best represent the graph of f(x)=e{x}? [Note: {x} denotes the fractional part of x]
A
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B
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C
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D
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Solution
The correct option is B {x} is a periodic function with fundament period 1. So, we need to draw graph from [0,1) and it will get repeated after that. {x} is an increasing function in [0,1)⇒e{x} is also increasing in [0,1) at x=0,e{x}=1 and at x→1,e{x}≈e
So, the range of e{x} is [1,e) The correct graph is,