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Question

# Let A = {1,2, 3} , B = {4,5,6,7} and f = {(1, 4),(2,5),(3,6)} be a function from A to B. Identify the type of function.

A
One-one
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B
Many – one function
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C
Onto function
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D
Bijection
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Solution

## The correct option is A One-oneGiven: A = {1,2, 3} , B = {4,5,6,7} and f = {(1, 4),(2,5),(3,6)} Then 'f' is a function from A to B and for different elements in A, there are different images in B. Hence, 'f' is one–one function. Note: The element 7 in the co-domain does not have any pre-image in the domain. Hence, 'f' is not onto. A function is bijection if it is both one-one and onto. Here, since 'f' is not onto so it cannot be bijection.

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