Let {\N} and {\Z} denote the set of all natural numbers and the set of all integers respectively. The function f: \N \to \Z defined by f(n)=\frac{n}{2} or - (\frac{n-1}{2}), according as n is even or odd, is

Correct Answer is : bijection only

neither an injection nor a surjection

AP ICET 25 July 2022 Shift 1 Solved Paper

Question : 182 of 200

Marks: +1, -0

Let

{\N}

and

{\Z}

denote the set of all natural numbers and the set of all integers respectively. The function

f: \N → \Z

defined by

f(n)=\;{n}/{2}

- (\;{n-1}/{2})

, according as

n

is even or odd, is

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