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Thread: Problem 33

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August 5th, 2007, 07:04 PM

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Problem 33

Let $f(x)$ be a function on the number line.
It is given that $f(2+x)=f(2-x) \mbox{ and }f(7+x)=f(7-x)$ and $0$ is a zero of $f(x)$ . What is the least number of zeros must $f(x)$ have on the interval $-2007\leq x\leq 2007$ .

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