Question

determine the period.

Explanation:

Step1: Recall the definition of period

The period of a periodic function is the horizontal distance between two consecutive identical points (e.g., two consecutive minima, maxima, or any other corresponding points) on the graph.

Step2: Calculate the difference in x - coordinates

Given two consecutive minima at \((2,-2)\) and \((9,-2)\). The formula for the period \(T\) (using the x - coordinates of two consecutive minima) is \(T=x_2 - x_1\), where \(x_1 = 2\) and \(x_2=9\).

$$T=9 - 2$$

Answer:

\(7\)