The function f : R [0, 1) defined as f(x) = x - [x] , where [ ] denotes greatest integer…
Mathematics · Class 12 · CBSE — Relations and Functions
The function \(f : \mathbb{R} \to [0, 1)\) defined as \(f(x) = x - [x]\), where \([\cdot]\) denotes greatest integer function, is:
- one-one but not onto
- onto but not one-one
- both one-one and onto
- neither one-one nor onto
Answer
(B) onto but not one-one
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