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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 :

\[\begin {array} {1 1} (a)\;\{x \in R:0 \leq x \leq 1\} & \quad (b)\;\{0,1 \} \\ (c)\;\{x \in R : x > 0\} & \quad (d)\;\{x \in R: x \leq 0\} \end {array}\]

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$(b)\;\{0,1 \} $
answered Nov 7, 2013 by pady_1

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