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If A={1,2,3,4}" and "B={1,2,3,4,5,6} are...

If `A={1,2,3,4}" and "B={1,2,3,4,5,6}` are two sets and function `f: A to B` is defined by `f(x)=x+2,AA x in A`, then the function f is

A

bijective

B

onto

C

one-one

D

many-one

Text Solution

Verified by Experts

The correct Answer is:
C
`f(1) = 3, f(2) = 4, f(3)= 5, f(4) = 6`
`rArr 1 in B, 2 in B` do not have any pre-image in A.
`rArr` f is one-one and into.
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