Final answer:
To determine if a function is periodic, find its period by solving T = 1/f, where T is the period and f is the frequency. In this case, the period is 0.5 seconds.
Step-by-step explanation:
The period of a function is the smallest interval over which the function repeats itself. To determine if a function is periodic, we need to check if it repeats itself after a certain interval.
In this exercise, we are given a frequency of f = 2s⁻¹. To find the period, we solve for T = 1/f:
T = 1/f = 1/(2s⁻¹) = 0.5s
Therefore, the fundamental period (P) of the function is 0.5 seconds.