Applets from Java Components for Mathematics Project NSF Grant DUE-9950473
Simple Graph  | Families Of Graphs  | Multi-Graph  | Function Composition  | Derivatives  | Secant-Tangent  | Riemann Sums

Function Composition Applet


The purpose of this applet is to illustrate function composition and the chain rule. It shows the graphs of two functions, f(x) and g(x), and of their composition, g[f(x)]. If you are a student at Washington Prep, you can drag the red square back and forth on the x-axis of the graph of f(x).

You can see another version of the applet with the following button. This example is configured to show tangent lines and the slope of each tangent line. The applet is also configured with several loadable examples.

Assignment
Let f(x) = e^x and g(x) = ln(x). What is the composition of g(f(x))?
What kind of functions are f(x) and g(x)?

Let f(x) = 5*x - 10. Find g(x) so that the composition g(f(x)) is a 45 degree line.