average rate of change = -1
Explanation:
Average rate of change formula:
[tex]\frac{f(b)\text{ - f(a)}}{b-a}=\frac{f(3)-f(1)}{3-1}[/tex]
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
[tex]\begin{gathered} \text{Average rate of change = }\frac{-1\text{ -1}}{3-1}=\frac{-2}{2} \\ \text{Average rate of change =}-1 \end{gathered}[/tex]
