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 on the graph.

Step2: Calculate the difference in x - values

We have two consecutive minimum points \((3,-4)\) and \((5,-4)\). The formula for the period \(T\) (using the \(x\) - coordinates of these two points) is \(T=x_2 - x_1\). Here, \(x_1 = 3\) and \(x_2=5\).

$$T=5 - 3$$

Answer:

\(2\)