You see below a demonstration of points at which a function is increasing, and points at which it is decreasing. If any changes are needed, please let Mike know.

---

If you can read this message it means your browser is not reading the applet imbedded here. You might wish to enable Java to view this applet.

---

1. Give an example of a function that is increasing everywhere
2. Give an example of a function that is decreasing everywhere
3. How can you characterize the points at which a function goes from increasing to decreasing, or vice-versa? Make sure your characterization works for these functions:
   • y = x^2
   • y = |x|
   • y = -x^2
   • y = 1/(x^2)