Let `f(x) = x(2 − x),` `0 le x le 2.` If the definition of `f` is extended over the set `R − [0, 2]` by `f(x + 1) = f(x)`, then `f` is a

Options

A. periodic function of period `1`
B. non periodic function
C. periodic function of period `2`
D. periodic function of period `(1/2)`