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If f(x) satisfies the relation f(x)+f(x+...

If `f(x)` satisfies the relation `f(x)+f(x+4)=f(x+2)+f(x+6)` for all`x ,` then prove that `f(x)` is periodic and find its period.

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To prove that the function \( f(x) \) is periodic and to find its period, we start with the given relation: \[ f(x) + f(x + 4) = f(x + 2) + f(x + 6) \] ### Step 1: Substitute \( x \) with \( x + 2 \) ...
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