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If A={1,2,3} and B={2,3,4} , find which ...

If A={1,2,3} and B={2,3,4} , find which of the following are the functions from A to B?
(i) `f={(1,2),(2,3),(3,4)}`
(ii) `g={(1,2),(1,3),(2,3),(3,4)}`
(iii) `h={(1,3),(2,4)}`

Text Solution

Verified by Experts

The correct Answer is:
N/a
(i) Each element of A is the first element of the order pair of `f` and no two pairs of `f` has the same first element, therefore `f: A to B` is a function.
(ii) Two order pairs (1,2) and (1,3) of g has the same first element, therefore g is not a function.
(iii) `3 in A ` has no image in h, therefore h is not a function.
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