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

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प्रश्न

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

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उत्तर

Let f: R → `[0, oo)`, 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, oo].`

Therefore, f(x) is onto.

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पाठ 1: Relations And Functions - Exercise [पृष्ठ १२]

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एनसीईआरटी एक्झांप्लर Mathematics Exemplar [English] Class 12
पाठ 1 Relations And Functions
Exercise | Q 19. (ii) | पृष्ठ १२

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