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.
To graph exponential functions, create a table of values first, calculating the values for f(x) according to the function given. Each pair of numbers constitutes the coordinates for the points to be drawn on the graph. X will give a coordinate for the x-axis, and f(x) is the coordinate for the y-axi
A linear function is graphed as a straight line and contains one independent variable and one dependent variable, whereas an exponential function has a rapid increase or decrease along a curved line in a graph. Linear functions, or equations, take the form "y = a + bx," in which "x" is the dependent
The inverse of an exponential function is a logarithm function. An exponential function written as f(x) = 4^x is read as "four to the x power." Its inverse logarithm function is written as f^-1(y) = log4y and read as "logarithm y to the base four."
"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.
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