Exponential Function

An basic exponential function has a form of f (x) = a^x, where a > 0 and a ≠ 1. The graph given below is extended to the form of f (x) = a^bx+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