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# Exponential function

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Exponential function are functions that have a rate of change that is dependant on the value of the function at that time (i.e. bacteria colonies and interest earned on a bank account). In mathematical notation, any function that satisfies the relationship: dy/dx = k * y, where k is any arbitrary constant, is an exponential function.

Exponential functions are noted in the form: y = abx where a is any constant (commonly e), and b is any constant (commonly +/- 1).

The inverse of an exponential function is a logrithmic function.

Exponential functions are also called transcendental functions.

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Last edited August 16, 2001 1:00 am (diff)
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