Question

What is the equation of the midline of the sinusoidal function? [Enter the answer in the box]

Answer 1

Answer:

$y=0$

Step-by-step explanation:

We are asked to find the equation of mid-line of the given sinusoidal function.

Since the mid-line of a sinusoidal function is the line that runs between the maximum and minimum y-values of the function. We can consider it the middle y-value.

$\text{Mid-line}=\frac{\text{Maximum value+Minimum value}}{2}$

We can see from our given graph that the maximum value of our function is 5 and minimum value of our function is -5.

Upon substituting these values in mid-line formula we will get,

$\text{Mid-line}=\frac{5+(-5)}{2}$

$\text{Mid-line}=\frac{5-5}{2}$

$\text{Mid-line}=\frac{0}{2}$

$\text{Mid-line}=0$

Therefore, the equation of the mid-line of the given sinusoidal function is $y=0$.