Quite tricky, and untypical math question: functions/polynom

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Discus: SAT/ACT Tests and Test Preparation: March 2004 Archive: Quite tricky, and untypical math question: functions/polynom
By Jszab (Jszab) on Wednesday, March 03, 2004 - 12:33 pm: Edit

W(x1+x2) = W(x1)+W(x2) + 2x1x2 - 2

What do you think about way of putting somethings, and than make linked equations?

for example:
and so on.


By Averagemathgeek (Averagemathgeek) on Wednesday, March 03, 2004 - 11:37 pm: Edit

I found a solution:
This is where I went with my instincts: I assumed the function was even.

Here is the verification:

Hope this helps.

By Jszab (Jszab) on Thursday, March 04, 2004 - 02:50 am: Edit

proof by example ;). Ok.
I'll try to find a proof for thesis it is even function. I am thinking by now about x^2+2 as an unchangable constant, independant from sign of unknowns.

Thank You very much indeed. Actually I had not tried with this question. I hope, that it helped You. :)

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IF You will ever have problem with any physics, biology or chemistry task, do not hesitate, and write an e-mail:

You have already saved my time :).

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