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For the function f(x)=[(1)/[[x])] where ...

For the function `f(x)=[(1)/[[x])]` where [x] denotes the greatest less than or equal to x, which of the following statements are true ?

A

The domain is `(-oo,oo)`

B

The range is `{0}uu{-1}uu{1}`

C

The domain is `(-oo,0)uu[1,oo)`

D

The range is `{0}uu{1}`

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