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Revision as of 08:07, 11 August 2020




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Problem of the Week

1984 AIME, Problem 12

A function $f$ is defined for all real numbers and satisfies $f(2+x)=f(2-x)$ and $f(7+x)=f(7-x)$ for all $x$. If $x=0$ is a root for $f(x)=0$, what is the least number of roots $f(x)=0$ must have in the interval $-1000\leq x \leq 1000$?

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Aops-g5-gethsemanea2's Wiki runs on the MediaWiki software.

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There have been 220,835 edits to 10,025 articles since January, 2006.

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