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.

Create a free account to view solution

View Solution Free
Topic: Function·Practice all Function questions

More Function Questions

If f(x) is defined on (0, 1) then the domain of definition of f(ex) + f(ln | x | ) is -...If the function f(x) = 2x2 + 3x + 5 satisfies LMVT at x = 2 on the closed interval [1, a], then the value of ′a&#8...Function f(x) = is monotonic decreasing in-...The function f(x) = is -...Let 0 < α, β, γ < are the solutions of the equations cos x = x, cos(sin x) = x and sin(cos x) = x r...