Q:

What is the equation of the midline of the sinusoidal function?Enter your answer in the box.

Accepted Solution

A:
The equation of the midline of the sinusoidal function is y =0.We have to determineWhat is the equation of the midline of the sinusoidal function? The midline of the sinusoidal function;The mid-line of any Sinusoidal function is a line that goes between the highest and lowest values of y of that function. Here we will take the middle value of y.The formula is used to find midline is;[tex]\rm Mid-line=\dfrac{Highest \ value + Lowest \ value}{2}[/tex]In the given graph, the Highest value of the function is 5 and the Lowest value of the function is -5.Substitute all the values in the formula;[tex]\rm Mid-line=\dfrac{Highest \ value + Lowest \ value}{2}\\\\\rm Mid-line=\dfrac{5+(-5)}{2}\\\\Mid-line =\dfrac{0}{2}\\\\Mid-line =0[/tex]Hence, The equation of the midline of the sinusoidal function is y =0.Learn more about Sinusoidal Function here: