determine the period of each function. 3. 4. 5. swings the height of

Explanation:

Step1: Recall period - definition

The period of a periodic function is the smallest positive value (T) such that (f(x + T)=f(x)) for all (x) in the domain of (f).

Step2: Analyze the first function (sine - like wave)

For the first function (left - hand graph), we can see that the pattern repeats every (2) units on the (x) - axis. So the period (T = 2).

Step3: Analyze the second function (saw - tooth wave)

For the second function (right - hand graph), the pattern repeats every (2\pi) units on the (\theta) - axis. So the period (T = 2\pi).

Answer:

The period of the function in 3 is (2), and the period of the function in 4 is (2\pi).