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Which types of the following functions a...

Which types of the following functions are ?
(i) {(a,1),(b,1),(c,1),(d,1),(e,1)}
(ii) {(3,2),(6,4)(9,2),(12,4)}
(iii) {(a,1),(b,2),(c,3),(d,4)}.

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(i) First element of each ordered pair is related with only one element of 2nd set, so it is a constant function.
(ii) The first elements of two pairs (3,2) and (9,2) are related with one element '2' , so it is mamy - one function.
(iii) One element is related with only one element in the ordered pair , so it is one-one function.
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NAGEEN PRAKASHAN ENGLISH-RELATIONS AND FUNCTIONS -Miscellaneous Exercise
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  6. Show that the function f: R->Rgiven by f(x)=x^3is injective.

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