complete the following statements for the cosine function shown in the graph. the minimum value is -0.75…

Explanation:

Step1: Recall amplitude formula

The amplitude $A$ of a periodic - function $y = a\cos(bx - c)+d$ is given by $A=\frac{\text{Max}-\text{Min}}{2}$, where $\text{Max}$ is the maximum value and $\text{Min}$ is the minimum value of the function.

Step2: Identify max and min values

From the problem, $\text{Max}=0.75$ and $\text{Min}=- 0.75$.

Step3: Calculate the amplitude

$A=\frac{0.75-(-0.75)}{2}=\frac{0.75 + 0.75}{2}=\frac{1.5}{2}=0.75$.

Answer:

$0.75$