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November 2nd, 2013, 11:37 PM   #1
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neither is neither? confusing logic.

Consider two functions, each of which is either even or odd but neither is neither odd nor even. Which algebraic combinations(sum, difference, quotient, product) of the two functions will result in an odd function, even function, and in a function that is neither even nor odd?

The logic behind this is strange. Ultimately, are the two functions even, odd, or neither?
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November 3rd, 2013, 01:29 AM   #2
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Re: neither is neither? confusing logic.

I am happy to be contradicted, but I believe it means that

Function 1 is definitely even or odd. It has to be one or the other.
and
Function 2 is definitely even or odd. It has to be one or the other.

I haven't looked at the rest yet.
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November 3rd, 2013, 01:15 AM   #3
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Re: neither is neither? confusing logic.

http://www.mathsisfun.com/algebra/funct ... -even.html
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