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If f : R to R is defined by f(x) = [2x]...

If `f : R to R` is defined by `f(x) = [2x]-2[x]` for `x in R`, where [x] is the greatest integer not exceeding x, then the range of f is:

A

`[x in R: 0 le x le 1]`

B

{0,1}

C

`[x in R: x ge 0]`

D

`[x in R: x le 0]`

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The correct Answer is:
B
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