Given an example of a map
(iii) which is neither one-one nor onto.

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Solution

The mapping $f : R \to R$ defined as $f (x) = x^{2}$ , is neither one-one nor onto.

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Similar questions

Given an example of a map

(i) which is one-one but not onto.

(ii) which is not one-one but onto.

(iii) which is neither one-one nor onto.

Given an example of a map
(ii) which is not one-one but onto.

f : C \to R

f (z) = | z |, z ϵ C

Let C be the set of complex numbers. Prove that the mapping $f : C \to R$ given by $f (z) = | z |, \forall z \in C$ , is neither one-one nor onto.

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