Saturday, May 21, 2011

Exponential Function

An basic exponential function has a form of f(x) = ax, where a>0 and a≠1. The graph given below is extended to the form of f(x) = abx+c + d in order to shift or scale the function.

Sorry, the GeoGebra Applet could not be started. Please make sure that Java 1.4.2 (or later) is installed and active in your browser (Click here to install Java now)

Slide the values of a, b, c and d to see the change of the graph. You may find out that for

0 < a < 1, the graph is decreasing;
a = 1, the graph is constant (which is not considered as an exponential function)
a > 1, the graph is increasing.

What other features that you can find for exponential function?

Betty, Created with GeoGebra

No comments:

Post a Comment