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.




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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

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