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Give an example of a map which is neither one-one nor onto

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प्रश्न

Give an example of a map which is neither one-one nor onto

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उत्तर

Let f: R → R, be a mapping defined by f(x) = x2

Then clearly f(x) is not one-one as f(1) = f(–1).

Also range of f(x) is `[0, oo)`.

Therefore, f(x) is neither one-one nor onto.

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

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

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