Task 1:
1. Use the slope tool in the tool bar to determine the average rate of change of this function over different intervals. Change the function by typing into the input box. Move the location of the points and see how the secant line moves according to them. Explain to someone next to you how this secant line represents an average rate of change over the interval between the two points on the function.
2. Express the average rate of change in terms of the variables given in the model with function notation.
Task 2:
1. Play with the slider h and compare this model to the previous. How are they similar and different? How is the secant line impacted by this point redefinition?
2. Express the average rate of change in terms of the new conditions in this problem. Make sure to include h in your expression.