1. How can you tell that a point on the graph is a maximum, a minimum, or neither? 2. How would you explain average rate of change to a classmate who was absent today? What does it tell us and how do we find it?

1) To see whether it is a maximum or a minimum, in this case we can simply look at the graph. f(x) is a parabola, and we can see that the turning point is a minimum. By finding the value of x where the derivative is 0, then, we have discovered that the vertex of the parabola is at (3, −4).

2

people went from manufacturing one object at a time by hand to manufacturing many objects in factories