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Question

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 x1,e{x}e

So, the range of e{x} is [1,e)
The correct graph is,


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