find the amplitude of the sinusoidal function.

find the amplitude of the sinusoidal function.

find the amplitude of the sinusoidal function.

Answer

Explanation:

Step1: Identify the maximum value.

From the graph, the maximum value of the function is $M = 4$.

Step2: Identify the minimum value.

From the graph, the minimum value of the function is $m = -4$.

Step3: Calculate the amplitude.

The amplitude $A$ is given by the formula $A = \frac{M - m}{2}$. $$A = \frac{4 - (-4)}{2}$$ $$A = \frac{4 + 4}{2}$$ $$A = \frac{8}{2}$$ $$A = 4$$

Answer:

4