www.reference.com/article/define-exponential-c83f5f9b2541a7c3

"Exponential" is an adjective that means of pertaining to an exponent or exponents, of pertaining to the constant "e," or of an equation having one or more unknown variables in one or more exponents. The word is common in mathematics, and its origins are French and Latin.

www.reference.com/article/exponential-growth-5280806dc30a13fb

The Business Dictionary defines exponential growth as an increase in number or size at a constantly increasing rate. Math Planet explains that exponential growth is represented by an exponential function, which is a nonlinear function with the form, y = ab^x, where a does not equal zero and b is gre

www.reference.com/article/exponential-function-rules-b1f6bebcd3dd8bdd

Exponential function rules are the mathematical guidelines for functions that take the form of f(x) = b^x, where the base is a positive real number. With these functions, the growth rate is proportional to their value.

www.reference.com/world-view/exponential-parent-function-718d38a8dcb4f1b8

The exponential parent function is the most basic form of an exponential function. From the general form of an exponential function y = ab^x, an exponential parent function has a value for a equal to one. Therefore, the exponential parent function is written simply as y = b^x.

www.reference.com/world-view/real-life-examples-exponential-growth-a45beacb84bc30fc

The unrestricted growth of bacteria is an example of exponential population growth. Bank accounts that accrue interest represent another example of exponential growth. The mathematical model of exponential growth is used to describe real-world situations in population biology, finance and other fiel

www.reference.com/article/populations-grow-exponentially-f29b53fded655ed2

Populations grow exponentially when they can maintain a constant growth rate percentage and can leverage the steady increase in population. Exponential growth of various species have been seen throughout Earth's history.

www.reference.com/world-view/invented-exponential-functions-3a9bacb2dae56296

Exponential functions were created by two men, John Napier and Joost Burgi, independently of each other. Napier was from Scotland, and his work was published in 1614, while Burgi, a native of Switzerland, developed his work in 1620.

www.reference.com/article/exponential-math-defined-9c9f12f31cbab966

Exponential math is any mathematical operation involving an exponent, which is the number or symbol placed above and after another number or symbol to indicate the power to which the former number is to be raised, Wikipedia explains. The operation 4 x 4, for example, is written exponentially as 4^2.

www.reference.com/article/calculate-pre-exponential-factor-fbf5de657a6f1f82

The pre-exponential factor, or frequency factor, is an aspect of the Arrhenius equation and is related to collision theory. The value for this factor varies depending on the chemical reaction and is determined through experimental observation. However, if values of the rate constant, k, are known at

www.reference.com/article/transformations-exponential-functions-ea9ad1560839d362

Transformations of exponential functions occur when the function changes to shift the graph to the left, right, up, down or in reverse. An exponential function can be reversed by adding a negative sign in front of the exponent.