Ok, so
Let me draw the situation here below:
Ok, so
We know that the average rate of change of a function (A) between two points a and b, could be found if we do the following:
A = (f (b) - f (a) ) / (b - a)
In this case, we have that:
f ( a ) = f ( - 2) = 2
f ( b ) = f ( 0 ) = - 3
and the interval [a,b] is [-2,0].
Then, we replace:
A = (-3 - 2) / ( 0 - (-2)). This is A = -5/2.
So, the average rate of change over the interval [-2,0] is equal to -2.5
