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

If `f: R rarr 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 RR: 0le x le 1}`

B

`{0, 1}`

C

`{x in RR : x gt0}`

D

`{x in RR : x lt 0}`

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