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Let A and B be two sets of real numbers.
Let such that
For instance, f(1)=f(-1)=2 i.e. Two element have the same image. So F is many one function.
Now , let
Elements of y have no pre-image in A ( for instance an element -2 in the codomain has no pre image in domain A. SO f is not onto.
So F is not bijective.