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 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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