Question

If f(x) is a periodic function with period 2 π , f(x)=x²,-π≤x≤π.

Answer 1

The given function f(x) = x² is periodic with a period of 2π. It completes one full period within the interval (-π, π).

Step-by-step explanation:

The given function f(x) = x² is defined for -π ≤ x ≤ π. We are told that the function is periodic with a period of 2π. This means that the function repeats its values every 2π units of x. Since the function is defined for -π ≤ x ≤ π, we can say that it covers one full period of the function. Therefore, the interval (-π, π) is one complete period of the function.