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If f: R-> [-1,1], where f(x) = sin pi...

If `f: R-> [-1,1]`, where `f(x) = sin pi/2 [x]`, where [] denotes the greatest integer function) then which of the following is false (a) `f (x)` is onto (b) `f (x)` is into c) `f (x)` is periodic (d) `f (x)` is many one

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