Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

determine the period.

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 peaks) on its graph.

Step2: Calculate the difference in x - values

Given two consecutive peak points \((3,3)\) and \((9,3)\). The formula for the period \(T\) (using the x - coordinates of these two points) is \(T=x_2 - x_1\), where \(x_1 = 3\) and \(x_2=9\).

$$T=9 - 3$$
$$T = 6$$

Answer:

6