Question

If f(x + 2a) = f(x – 2a), then f(x) is:

Options

• a periodic function with period 4a.

• a periodic function with period 2a.

• a periodic function with indeterminate period.

• a non-periodic function.

Answer 1

a periodic function with period 4a.

Explanation:

f(x+ 2a) = f(x – 2a)

x→x + 2a

f(x) = f(x + 4a): T = 4a