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
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
Exponential growth is a biological principle that follows a format in which a population of life forms grows at a faster rate when the population is larger. Exponential growth assumes birth and death rates are constant, and factors such as migration are non-existent. The graph of an exponential grow
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.
"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.
Exponential growth and decay can be determined with the following equation: N = (NI)(e^kt). In this equation, "N" refers to the final population, "NI" is the starting population, "t" is the time over which the growth or decay took place and the "k" represents the growth or decay constant. If necessa
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.
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.
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.
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.