This project contains a few interactive webpages that I created with jsxgraph.
Each page allow the students examine a family of functions and try to guess how the constants determine the shape of the graph. Here is a list of functions
- f(x) = a·x+b
- f(x) = a^x
- f(x) = b·a^x
- f(x) = x^a
- f(x) = b·x^a
- f(x) = a·x^2+b·x+c
- f(x) = a·(x-p)^2+q
- f(x) = a·(x-r)·(x-s)
- f(x) = a·x^2+b·x+c
- f(x) = a·x^2+b·x+c and g(x)=b·x+c
The webpages were designed to be compatible with the sections on eksperimental mathematics in the Danish math book system named "Gyldendals Gymnasiematematik".
You may also wish to check out the following page. It has a nice parser http://www.slu.edu/classes/maymk/Applets/FamilyGraphs.html