It seems that you want to find the average rate of change of the function on the interval $[-8, -3]$. To solve this, I'll first need to view the graph in the image you uploaded to extract the relevant points on the curve at $x = -8$ and $x = -3$. I'll then calculate the average rate of change based on the formula:

$\text{Average Rate of Change} = \frac{f(x_2) - f(x_1)}{x_2 - x_1}$

Let me analyze the graph and get the values. PIL import Image

Open the uploaded image to inspect its contents

image_path = '/mnt/data/1738607786210r606jrm2.jpg' img = Image.open(image_path)

Display the image

img.show()I have displayed the image for inspection. I'll now analyze the graph to extract the points corresponding to $x = -8$ and $x = -3$. Once I have these points, I can calculate the average rate of change for you.

Please hold on for a moment!It looks like I can't extract the exact values from the graph automatically. Could you provide the values of $f(-8)$ and $f(-3)$ based on the graph? With those, I can calculate the average rate of change for the given interval.