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Onto Function

Consider A =1...

Question

Consider A = {1, 2, 3, 4} and B = {2, 3, 5, 9}. Is the relation f = {(1, 2), (2, 3), (3, 3), (3, 5)} a function from A to B?

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Solution

The element 4 in A does not have an image. ....………… (1)

The element 3 is mapped to both 3 and 5. …………..... (2)

From (1) and (2), f is not a function.

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Let A = {1, 2, 3, 4}, B = {1, 5, 9, 11, 15, 16} and f = {(1, 5), (2, 9), (3, 1), (4, 5), (2, 11)}. Are the following true?

(i) f is a relation from A to B (ii) f is a function from A to B.

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