1 Onto one to one bijection Consider the function f NU 0 NU 0 where f is defined as x 1 if x is even x 1 f x x 1 if x is odd 1

Question

1 Onto one to one bijection Consider the function f NU 0 NU 0 where f is defined as x 1 if x is even x 1 f x x 1 if x is odd 1 Is f is one to one If yes prove it otherwise provide a counter example 2 Is f is onto If yes prove it otherwise provide a counter example 3 Is f is bijection If so find f 1 inverse of f

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