Write an example for a function defined on N which is onto but not one-one
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Give functions f: N->N that satisfy a) f is one-to-one but not onto b) f is onto but not one-to-one c) f is a bijection Solution: a) f(x) = x * 2 Every distinct element of x has a different value of (x*2), thus the function is one-to-one. ... In particular, x=2 and x=3 both map to the natural number 1.
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