Question

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


A. periodic; about 6
B. periodic; about 3
C. periodic; about 12
D. not periodic

Answer 1

https://study.ashworthcollege.edu/access/content/group/3deb3864-16e6-41b5-8cfd-6102f85fcfab/algebra2_exam_13_files/mc001-1.jpg

Answer 2

If it is periodic, with period = P, then f(x) = f(x+P) for all values of x.

If you look at that graph, I think you'll see that there are 2 entire waveforms present, and that it does satisfy that condition. Pick a unique spot on the first wave, and count how many units along the x-axis it takes to get to the corresponding spot on the second wave. That's your period. You have to exercise some care in the choice of your point!