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 points with the same phase) on the graph of the function.

Step2: Calculate the difference in x - values

We have two consecutive minima at the points \((8,-2)\) and \((25,-2)\). The formula for the period \(T\) (when we have two consecutive points of the same type) is \(T=x_2 - x_1\), where \(x_2 = 25\) and \(x_1=8\).

$$T=25 - 8$$

Answer:

\(17\)