Answer:
The correct option is c.
Step-by-step 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,
[tex]Period=b-a[/tex]
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
[tex]Period=4-(-2)[/tex]
[tex]Period=4+2[/tex]
[tex]Period=6[/tex]
The period of the function is 6.
Therefore the correct option is c.
