Question

determine the period. (8,9) (27,9)

Explanation:

Step1: Recall the definition of period

The period of a periodic function is the horizontal distance between two consecutive corresponding points (such as two consecutive maxima) on the graph of the function.

Step2: Calculate the difference in x - values

Given two consecutive maxima at the points \((8,9)\) and \((27,9)\). The formula for the period \(T\) (when we have two consecutive maxima \((x_1,y_1)\) and \((x_2,y_2)\) with \(y_1 = y_2\)) is \(T=x_2 - x_1\).
Substitute \(x_1 = 8\) and \(x_2=27\) into the formula: \(T=27 - 8\).

Answer:

\(19\)