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 - coordinates

Given two consecutive maxima at \((2,3)\) and \((5,3)\). The formula for the distance between two points \((x_1,y_1)\) and \((x_2,y_2)\) for the x - direction (since \(y\) - values are the same for periodicity in this case) is \(d=x_2 - x_1\). Here \(x_1 = 2\) and \(x_2=5\). So, \(d = 5-2\).

Answer:

\(3\)