- Use the radio buttons to choose function 1.
`a.` Do you think that function 1 is continuous?
`b.` Use the first slider to set the focal point on x=2. Then use the second slider to estimate the slope of the function at x=2 *by adjusting the slope of the green line*. According to your estimate, what is the slope?
`c.` Use the third slider to "zoom in" on the point x=2. When you have "zoomed in" *as far as the applet allows*, you can readjust the slope of the green line. Now what is your estimate of the slope? How far off was your answer to the previous bulleted question?
`d.` How far do you think it is necessary to "zoom in" on the function to estimate the slope well?
`e.` Do you still think that function 1 is continuous?

- Press "reset," and then use the radio buttons to choose function 2. Do not be surprised, function 2 looks quite similar to function 1! Repeat all parts of question 1 for function 2.
- Repeat the process for function 3.