Question

Is the function periodic? if so, find the period

a. yes 4
b. yes 5
c. yes 6
d. no

Answer 1

The answer is:
Yes, 6

Answer 2

The correct option is c.

Explanation:

If a function gives the same value at regular intervals, then it is know as periodic function.

The given graph repeat itself after a particular interval, therefore the given function is periodic.

If a graph complete cycle in interval [a,b], then its period is,

`Period=b-a`

From the given graph it is clear that the graph complete a cycle in the interval [-2,4]. So, the period of the given graph is

`Period=4-(-2)`

`Period=4+2`

`Period=6`

The period of the function is 6.

Therefore the correct option is c.