Question

determine the period.

Explanation:

Step1: Understand the period concept

The period of a periodic function is the horizontal distance between two consecutive identical points (like two consecutive peaks).

Step2: Calculate the difference in x - values

We have two consecutive peak points \((5,8)\) and \((14,8)\). The formula for the period \(T\) (using the x - coordinates of consecutive peaks) is \(T=x_2 - x_1\), where \(x_1 = 5\) and \(x_2=14\).
So, \(T=14 - 5\)

Answer:

\(9\)