6. If you were given a graph of a function instead of its equation, explain how to find the average rate of change between two points. How does this differ from finding the instantaneous rate of change? Use a diagram to help you explain.

Answer 1

the average rate of change on the interval [a,b] is just the slope of the line joining the two points on the graph:

∆f/∆x = (f(b) - f(a))/(b-a)

So, how is that different from the derivative df/dx ?

google can provide you with many illustrations of this topic