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Suppose that f is an even, periodic func...

Suppose that `f` is an even, periodic function with period `2`, and `f(x)=x` for all `x` in the interval `[0,1]`. The values of `[10f(3. 14)]` is (where [.] represents the greatest integer function) ______

A

`-3.14`

B

`-0.14`

C

`0.14`

D

`0.86`

Text Solution

Verified by Experts

The correct Answer is:
D
`f(3.14)=f(3.14-5)=f(-0.86)=f(0.86)=0.86`
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