JEE Main Mathematics question

Mathematics Function JEE Main

A function from the set of natural numbers to integers defined by is

(A)One-one but not onto
(B)Onto but not one-one
(C)One-one and onto bothCorrect
(D)Neither one-one nor onto

Answer: (C)

Solution

Write out the images. Odd give (all non-negative integers). Even give (all negative integers). One-one: within each branch the map is strictly

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Question ID VK-007347