The average rate of change = -2
Explanation:
The average rate of change is the slope of the line that connects the endpoints:
[tex]m\text{ = }\frac{f(x_2)-f(x_1)}{x_2-x_1}[/tex]
y = f(x)
Domain = 1 ≤ x ≤ 6 = [1, 6]
when x = 1
From the graph, f(x) =y = 0
when x = 6
From the graph, f(x) = y= -10
[tex]\begin{gathered} Average\text{ rate of change = }\frac{-10-0}{6-1} \\ \text{rate of change =}\frac{-10}{5} \\ Average\text{ rate of change =}-2 \end{gathered}[/tex]
