3. using the function graph shown below, calculate the average rate of change from (-7,-2) to (-6,-7).

Explanation:

Step1: Recall average - rate - of - change formula

The average rate of change of a function from $(x_1,y_1)$ to $(x_2,y_2)$ is $\frac{y_2 - y_1}{x_2 - x_1}$.

Step2: Identify the points

Here, $x_1=-7,y_1 = - 2,x_2=-6,y_2=-7$.

Step3: Substitute values into formula

$\frac{-7-(-2)}{-6 - (-7)}=\frac{-7 + 2}{-6+7}=\frac{-5}{1}=-5$.

Answer:

$-5$