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) on the graph of the function.

Step2: Calculate the difference in x - values

We have two consecutive maxima at the points \((2,3)\) and \((7,3)\). Using the formula for the distance between two points on the x - axis (since the y - values are the same for these two maxima), if \(x_1 = 2\) and \(x_2=7\), the period \(T=x_2 - x_1\).

$$T=7 - 2$$

Answer:

\(5\)