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Let $f (x) = x (2 - x), 0 \leq x \leq 2.$ If the definition of f is extended over the set $R - [0, 2] by f (x + 2) = f (x)$ then f is a

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periodic function of period 1

non periodic function

periodic function of period 2

periodic function of period ½

answer is C.

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$f (x + p) = f (x) \Rightarrow p$ is a period

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