What is the average rate of change of f(x), represented by the table of values, over the interval [-3, 4]? x f(x) -6 27 -3 6 -1 2 0 3 1 6 4 27

The rate of change = 3

Explanation:
The rate of change is also known as the slope of the line.
It can be calculated using the following rule:
slope = 

We need to get the rate of change on the interval [-3,4]
From the table given, we can get our points as follows:
First point is (-3,6) representing (x₁,y₁)
Second point is (4,27) representing (x₂,y₂)

Substitute with these points in the above equation to get the rate of change (slope) as follows:
slope = 

Hope this helps :)