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) on the graph.

Step2: Calculate the difference in x - coordinates

We have two consecutive minima at \(x = 2\) and \(x=9\). The formula for the period \(T\) is \(T=\vert x_2 - x_1\vert\), where \(x_1 = 2\) and \(x_2=9\).
So, \(T=\vert9 - 2\vert\).

Step3: Simplify the expression

\(\vert9 - 2\vert=\vert7\vert = 7\).

Answer:

\(7\)