Question

Find the average rate of change over the interval (-6,2)

Answer 1

The average rate of change is

`(1)/(4)`

Step-by-step 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 :

`A=(y_2-y_1)/(x_x-x_1)`

Where:

`\begin{gathered} x_1=-6, \\ x_2=2 \\ y_1=2 \\ y_2=4 \end{gathered}`

So

`\begin{gathered} A=(4-2)/(2-(-6)) \\ \\ =(2)/(8) \\ \\ =(1)/(4) \end{gathered}`