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- Mar 15th 2009, 10:53 PM #1

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## Neither one-to-one nor onto

Q:Give an explicit formula for a function from the set of all integers to

the set of positive integers that is neither one-to-one nor onto.

Can someone give me some hints as to how I should approach this question because honestly, I have no idea how to do this question.

Answer with explanation would be nice. xD

Thanks,

Creative

- Mar 15th 2009, 11:08 PM #2

- Mar 16th 2009, 07:57 AM #3

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If we let two integers to be on the same partition(even or odd) -not one-one

then how do we get it to be not onto as well?

*edit

so if the function is ((x^2)-8x+7)

x = 7 and x = 1(both in odd partition)

How would you prove it not to be onto?

Thanks,

Creative

- Mar 16th 2009, 08:12 AM #4

- Mar 16th 2009, 08:22 AM #5

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- Mar 16th 2009, 08:30 AM #6