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Extend a function to an impair one.

Hello, I have been ask to extend the following function to [-1,1] such that the new functions becomes impair. The problem is that I don`t know how to do it. Thanks!

Re: Extend a function to an impair one.

Quote:

Originally Posted by

**orbit** Hello, I have been ask to extend the following function to [-1,1] such that the new functions becomes impair. The problem is that I don`t know how to do it. Thanks!

In Spanish, *función impar* is equivalent in English to *odd function* so, I suppose you mean *becomes odd* instead of *becomes*** impair** . In such a case the problem has no solution because if is odd then, .

Re: Extend a function to an impair one.

Quote:

Originally Posted by

**FernandoRevilla** In Spanish,

*función impar* is equivalent in English to

*odd function* so, I suppose you mean

*becomes odd* instead of

*becomes*** impair** . In such a case the problem has no solution because if

is odd then,

.

Hello,

thanks. The correct word is odd.

And thanks for letting me know the problem has no solution. The correct question is now available.

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Re: Extend a function to an impair one.

Quote:

Originally Posted by

**orbit** Hello, I have been ask to extend the following function to [-1,1] such that the new functions becomes impair. The problem is that I don`t know how to do it. Thanks!

This is the correct question. Sorry!

Re: Extend a function to an impair one.

Quote:

Originally Posted by

**orbit** This is the correct question. Sorry!

Try it. Remember, is odd iff for all .