Question

determine the period.

Explanation:

Step1: Recall the definition of period

The period of a periodic function is the horizontal length over which the function repeats its values. For a sinusoidal - like graph, if two consecutive corresponding points (e.g., two consecutive minima) are given, the period \(T\) is the difference in their \(x\) - coordinates.

Step2: Calculate the period

Let \(x_1 = 4\) and \(x_2=19\). Using the formula \(T=x_2 - x_1\).
Substitute the values: \(T = 19 - 4\).

Answer:

\(15\)