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 (like two consecutive peaks).

Step2: Calculate the difference in x - values

Given two consecutive peaks at \((7,7)\) and \((19,7)\). The formula for the distance between two points \(x_1\) and \(x_2\) on the x - axis is \(|x_2 - x_1|\). Here, \(x_1 = 7\) and \(x_2=19\). So, \(|19 - 7|=12\).

Answer:

\(12\)