How do you find the average rate of change of #f(x)=-3x^2+2# between [-2,0]?
1. Derive equation for rate of change
2. By substitution of the values of x at the two points under investigation determining the actual rate of change at those point. 3. Apply the standard method of determining the mean. In this case it will be
Note that rate of change is from left to right on the graph. This is important!
Assumption: your given
Brackets facing outwards represents "exclusive".
The rate of change is:
So the mean rate of change is