Question

For the function f(2)-2+2, x > 03x + 2, 3 < 0what is the average rate of change over the interval 1 sxs 3?average rate of change = 1

Answer 1

average rate of change = -1

Explanation:

Average rate of change formula:

$\frac{f(b)\text{ - f(a)}}{b-a}=\frac{f(3)-f(1)}{3-1}$

The range is from 1 to 3.

b= 3, a = 1

From the given function, x is greater than 1 when f(x) = -x + 2

when x = 3

f(3) = -3 + 2 = -1

when x = 1

f(1) = -1 + 2 = 1

$\begin{gathered} \text{Average rate of change = }\frac{-1\text{ -1}}{3-1}=\frac{-2}{2} \\ \text{Average rate of change =}-1 \end{gathered}$