FunctionHard

Question

Let f(x) = x (2 - x), 0 ≤ x ≤ 2. If the definition of  ′f′ is extended over the set ,R - [0 , 2]  by  f(x - 2) = 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

Solution


y = f(x + 2) is drawn by shifting the graph by 2 units horizontally.

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