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Definition of EXPONENTIAL FUNCTION
: a mathematical function in which an independent variable appears in one of the exponents —called also exponential
First Known Use of EXPONENTIAL FUNCTION
In mathematics, a function in which a constant base is raised to a variable power. Exponential functions are used to model changes in population size, in the spread of diseases, and in the growth of investments. They can also accurately predict types of decline typified by radioactive decay (seehalf-life). The essence of exponential growth, and a characteristic of all exponential growth functions, is that they double in size over regular intervals. The most important exponential function is ex, the inverse of the natural logarithmic function (seelogarithm).