Question

what is the equation of the midline for the function $f(x)$?
$f(x) = \frac{1}{2}\cos(x) + 5$
enter your answer in the box.

Explanation:

Step1: Recall midline formula for cosine function

The general form of a cosine function is $f(x) = A\cos(Bx + C) + D$, where the midline is $y = D$.

Step2: Identify D in the given function

For $f(x) = \frac{1}{2}\cos(x) + 5$, $D = 5$. Thus, the midline is $y = 5$.

Answer:

$y = 5$