Question

Which of the following function is a Periodic function -

• A. F(x) = x
• B. F(x) = sinx
• C. F(x) = e^x
• D. F(x) = log (x)

Answer 1

The correct option is B

F(x) = sinx

If we look at the graphs of $y=x,y=e^x,y=log\left(x\right)$ we’ll see that this function doesn’t have a repeating graph. In fact they all are continuously increasing function. So we cannot find different x values getting the same value of y. Only function y = sin(x), repeats itself after a certain interval.