Answer:
Option A is correct.
-2 is the rate of change for the interval between –6 and –3 on the x-axis
Step-by-step explanation:
Average rate of change(A(x)) of function f(x) over the interval [a, b] is given by:
.....[1]
As per the statement:
To find the rate of change for the interval between –6 and –3 on the x-axis.
At x = -6
From the graph:
f(-6) = 6
At x = -3
then;
f(-3) = 0
Substitute these in [1] we have;

Therefore, the rate of change for the interval between –6 and –3 on the x-axis is, -2