Question

determine the period.

Explanation:

Step1: Recall the definition of period

The period of a periodic function is the horizontal distance between two consecutive corresponding points (such as two consecutive maxima).

Step2: Calculate the difference in x - values

Given two consecutive maxima at \((3,3)\) and \((9,3)\). The formula for the period \(T\) (using the x - coordinates of these two points) is \(T=x_2 - x_1\). Here, \(x_1 = 3\) and \(x_2=9\). So, \(T=9 - 3\).

Answer:

\(6\)