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The AoPS Wiki project is administered by the [[Art_of_Problem_Solving|<span style="color:#83a1d6;">Art of Problem Solving</span>]] for supporting educational content useful to avid math students.  
 
The AoPS Wiki project is administered by the [[Art_of_Problem_Solving|<span style="color:#83a1d6;">Art of Problem Solving</span>]] for supporting educational content useful to avid math students.  
 
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During AMC testing, the AoPS Wiki is in read-only mode. No edits can be made.  
 
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Revision as of 01:51, 18 November 2020

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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