1.3 Sketching graphs from derivative information

Applet explorations

1) Use the information on the left-hand side to sketch the graph described. Drag the points up and down the coordinate plane to change your sketch. 2) Check your answer and refresh the page to change the information when you are happy with your sketch. 3) Did you get the basic shape of the graph? These graphs may not be as accurate as those in the previous activity. Why not? 4) Consider the points you are told the graph passes through. What do you notice about each of these points? Refresh the page to test your hypothesis on other graphs. Discuss your findings in terms of the derivative. Summarise any key points at the bottom of the page.

Applet conclusions

Note any key points from this activity. How can this applet be used to develop our understanding of calculus?