Saturday, May 21, 2011

Exponential Function

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


Slide the values of a, b, c and d to see the changes of the graph. You may find out that for
  1. 0 < a < 1, the graph is decreasing;
  2. a = 1, the graph is constant (which is not considered as an exponential function)
  3. a > 1, the graph is increasing.
What other features that you can find for exponential function?

Betty, Created with GeoGebra

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