Find the period of each of the following graphs.

a. b.

 

c.

d.

Start at an identifiable point in the cycle. Then, measure to the same point in the next cycle.

a.

 

This graph shows two ways the cycle can be identified. The period is the same for both.

The cycle shown in black begins at 1 and ends at 3; therefore, the period is 3 - 1 = 2.

The cycle shown in green begins at 5 and ends at 7; therefore, the period is 7 - 5 = 2.

 

b.

 

The cycle begins at 0 and ends at 7; therefore, the period is 7 - 0 = 7.

 

c.

 

The cycle begins at 3 and ends at 8; therefore, the period is 8 - 3 = 5.

 

d. The cycle begins at 3 and ends at 15; therefore, the period is 15 - 3 = 12.