# How does one simplify such a function?

Algebra Level 5

$\large {f(2+x) = f(2-x) \\ f(7+x) = f(7-x)}$

A function $$f$$ is defined for all real numbers and, for all real $$x$$, satisfies the two equations above.

If $$f(0)=0$$, what is the smallest number of solutions that $$f(x) = 0$$ could have in the interval $$-2000 \leq x \leq 2000$$?

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