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Question from Avinash:

Define a function f(x):N-->N which is onto but not one-to-one. Where N is set of natural numbers.

Hi Avinash,

Think about a function you define piecewise. Something like

\[f(x) = \left\{ \begin{array}{ll}? & \mbox{if $x$ is odd}\\?? & \mbox{if $x$ is even}. \end{array} \right. \]

Write back if you need more assistance,
Penny

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