Question

The function f is given by f(x)=1+3cosx. What is the average rate of change of f over the interval [0,π]?

Answer 1

Answer:

$-\frac{6}{\pi}$

Step-by-step explanation:

To find the average rate of change, we use the formula

$\frac{f(b)-f(a)}{b-a}$

Where $a=0$ and $b=\pi$

Knowing this, we can plug in all of our know values and simplify.

$\frac{1}{\pi} ((1+3cos(\pi ))-(1+3cos(0))\\\\\frac{1}{\pi} ((1-3 ))-(1+3))\\\\\frac{1}{\pi} (-2-4)\\\\-\frac{6}{\pi}$