Chapter 13.3, Problem 2OE

To determine

To find: The period of the periodic function and also find function ,is even, odd, or neither .

Answer to Problem 2OE

The period of the periodic function is $\left(3\right)$ . The function is neither even nor odd .

Explanation of Solution

Given information:

Graph of the periodic function.

  

Calculation:

Clearly from the given graph, the answer is obtained. The function repeats itself starting at $\left(3\right)$ .

Therefore the period of the periodic function is $\left(3\right)$ .

From the given graph $f\left(2\right)=0$ .

And is not equal to $f\left(-2\right)=1$ nor $-f\left(-2\right)=-1$ .

Therefore, the function is neither even nor odd