Question

# Let A={1,3,4,7,11}, B={1,1,2,5,7,9} and f:A→B be given by f ={(1,1),(3,2),(4,1),(7,5),(11,9)}. Then f is

A
One-one
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B
Onto
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C
Bijective
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D
Not a function
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Solution

## The correct option is A One-oneGiven A={1,3,4,7,11}, B={1,1,2,5,7,9} and f={(1,1),(3,2),(4,1),(7,5),(11,9)}Here , for each element in A is mapped to a unique element in B, Hence the function f is one -one.Here for element 7 in B, there is no corresponding element in A. Hence function is not onto. As the function is one-one and not onto, f is not bijective.

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