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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


Subtracting a past population value from the present population value, and dividing this result by the past population value, yields the population-growth rate. Multiplying the population-growth rate by 100 yields the growth percentage.


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."


Converting logarithms to exponential form is a matter of knowing which symbols represent which part of the equation and directly substituting. This conversion can be done in under a minute, and a calculator is only useful if you want to check your answer.


To calculate percent sales growth over a period, subtract the previous sales figure from the current sales figure, divide the result by the previous sales figure, and then multiply this number by 100, explains Michael Marz for the Houston Chronicle. In order to obtain the most accurate growth percen


Exponential notation simplifies calculation, especially calculation with very small or large numbers, by using positive and negative numbers to write multiples and submultiples of 10. All numbers can be written as a multiple of 10.


Calculate population growth rate by dividing the change in population by the initial population, multiplying it by 100, and then dividing it by the number of years over which that change took place. The number is expressed as a percentage.