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Give an example of a map which is not one-one but onto

 Give an example of a map 
 which is not one-one but onto 
 

Grade:12

1 Answers

Harshit Singh
askIITians Faculty 5964 Points
10 months ago
Dear Student

Let f: R → [0, ∞), be a mapping defined by f(x) = |x|
Then, it’s clearly seen that f (x) is not one-one as f (2) = f (-2).
But |x| ≥ 0, so range is [0, ∞].
Thus, f (x) is onto.


Thanks

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