Properties of Functions

FIU has online movies to help with this topic on this page. You must have QuickTime Player, a free download, installed on your computer.

The University of Idaho provides another online resource.  These lectures are only viewable by those with DSL or cable modems.  Real Player, a free download, is required to see these videos. The videos cover the topics below. To see the videos, go to this page and look under section 3.3.
Increasing, Decreasing and Constant functions
Definition of Local Extremes
Even and odd functions

Joliet Junior College has online videos as well.
Determine even and odd functions from a graph
Identify even and odd functions from the equation
Use a graph to determine where a function is increasing, decreasing, or constant
Use a graph to locate local maxima and local minima
Find the average rate of change of a function

Average rate of change is very simple. It is a generalization of the concept of slope. While we use slope only when talking about lines, average rate of change can be computed for any function. Average rate of change is a fraction. You obtain the numerator by subtracting the y-coordinates in any order. The denominator is obtained by subtracting the x-coordinates in the same order that you subtracted in the numerator.

Other Online Help:
Even and Odd functions (PurpleMath)