Determine whether the function is periodic. If it is, find the period.

graph 2• The x axis extends from negative 6 to 6.
• The y axis extends from negative 4 to 4.
• A curve begins at approximately negative 6 comma 0.5, then decreases to approximately negative 5.5 comma one-third, then increases to about negative 4.9 comma 2.
• From this point, the curve decreases to approximately negative 4.1 comma negative 1 and increases to about negative 2.6 comma 0, then decreases to about negative 3 comma negative 1.5, increases to about negative 2.2 comma 1.7, decreases to about negative 1.8 comma 0, increases to approximately negative 1.1 comma 1, decreases to approximately negative 0.5 comma negative 1.9, increases passing through 0 comma 0 to reach approximately 0.2 comma 0.4, and the pattern repeats ending at about 6 comma negative 1.8.
(1 point)
Responses

periodic; about 6
periodic; about 6

periodic; about 3
periodic; about 3

periodic; about 12
periodic; about 12

not periodic

The function is periodic with a period of about 3.