Answer:
The average rate of change is
[tex]\frac{1}{4}[/tex]
Explanation:
Given the interval (-6,2)
At x = -6, the graph shows y = 2
At x = 2, the graph show y = 4
The average rate of change is :
[tex]A=\frac{y_2-y_1}{x_x-x_1}[/tex]
Where:
[tex]\begin{gathered} x_1=-6, \\ x_2=2 \\ y_1=2 \\ y_2=4 \end{gathered}[/tex]
So
[tex]\begin{gathered} A=\frac{4-2}{2-(-6)} \\ \\ =\frac{2}{8} \\ \\ =\frac{1}{4} \end{gathered}[/tex]
