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Revision as of 00:55, 18 November 2015 by Levans (talk | contribs)
Welcome to the AoPS Wiki!

The AoPS Wiki project is administered by the Art of Problem Solving for supporting educational content useful to avid math students. Please do not discuss the 2015 AMC 8 Competition on any website until November 25th.

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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