Let be defined by

MATHEMATICS · Subjective · CBSE · Mathematics · Relations and Functions · Relations and Functions

Problem

9. Let

f: \mathbf{N} \rightarrow \mathbf{N}

be defined by

f(n)=\frac{n+1}{2}

, if

n

is odd for all

n \in \mathbf{N}

.

\frac{n}{2}

, if

n

is even State whether the function

f

is bijective. Justify your answer.

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