Checkpoint 2

1. Use the same plotting tool as you used in Activity 2 (part b) to display the graphs of `ftext[(]t text[)]=kt^2 and

   `gtext[(]t text[)]=(ftext[(]t+0.001 text[)]-ftext[(]t text[)])/0.001`

   with `k=1//2`. What is the slope of the graph of `gtext[(]t text[)]`? Write a simple formula for a function that approximates `gtext[(]t text[)]` when `k=1//2`.

2. If we set `k=-1//2`, what is the slope of the graph of `gtext[(]t text[)]`?

3. Our last case is a little harder. Use your graphing tool to graph `gtext[(]t text[)]` for `k=1.8` and find the slope in this case. (You can find two points on the line by using the trace feature on your graphing calculator or the digitizing feature in your computer algebra system.)