10. If f(a-x) = f(a+x) and f(b-x) = f(b+x) for all real x, where a,b (b less than a) are constants, then prove that f(x) is a periodic function.

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If $f (x) = (x - a) (x - b)$ , then $f (a) = f (b)$ .

f (x) = log (\frac{1 - x}{1 + x})

a

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If f(x) = (x - a)(x - b) , then if a and b are the zeros of the polynomial f(x), f(a) = f(b).

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f (- a) = - f (a)

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