(Example motivated by Penn and Bailey, p.50)

1. Choose Beginning Calculus from the initial menu and press .
2. Use the arrow keys to move to the menu item Graph y = F(x), press and .
3. At the prompt F(x) =, enter the formula x^(4/3)(x-0.1)^2
4. Enter the bounds at the prompts

   x_0 = -5 x_1 = 5

   y_0 = 0 y_1 = 20

5. The following graph appears to have a single critical point.

   

6. Press and, using the arrow keys, move to Change [x0, x1] and press .
7. Enter the bounds at the prompts

   x_0 = -0.2 x_1 = 0.2

8. There is not much of a graph. Press and, using the arrow keys, move to Change [y0, y1] and press .
9. Enter the bounds at the prompts

   y_0 = 0 y_1 = 0.001

   

10. Now you will see that there appear to be at least three critical points.