Question

What is the equation of the midline for the function f(x)?
f(x)= 4 cos(x) − 3

Answer 1

Explanation:

The equation of the midline for the function f(x) = 4cos(x) - 3 is y = -3. The midline represents the horizontal line that the graph of the function oscillates around. In this case, since the function is a cosine function, the midline is the horizontal line at y = -3, which is the constant term in the function

Answer 2

y = -3

Explanation:

The midline for a periodic function, such as a cosine function, is the horizontal line that represents the average value or equilibrium level of the function over one complete period. In a cosine function of the form:

f(x) = A cos(Bx) + C

The midline is the horizontal line y = C.

In this specific function, f(x) = 4 cos(x) - 3, the midline is represented by the equation:

y = -3

So, the equation of the midline for this function is y = -3. This means that the function oscillates above and below the line y = -3 as it completes its cycles.