Difference between revisions of "Exponential function"
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| − | Exponential | + | Exponential functions are functions that grows or decays at a constant percent rate. Exponential functions that result in an increase of ''y'' is called an '''''exponential growth'''''. Exponential functions that result in an decrease of ''y'' is called an '''''exponential decay'''''. |
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| + | Exponential functions are in one of three forms. <math>f\left( x \right) = ab^x </math>, <math>f\left( x \right) = ae^k </math>, where ''e'' is the irrational constant ''2.71828182846....'', or | ||
<math>f\left( x \right) = a\left( {{1 \over 2}} \right)^{{x \over h}} | <math>f\left( x \right) = a\left( {{1 \over 2}} \right)^{{x \over h}} | ||
</math> <math>f\left( x \right) = a\left( 2 \right)^{{x \over d}} | </math> <math>f\left( x \right) = a\left( 2 \right)^{{x \over d}} | ||
Revision as of 05:58, 10 November 2006
The exponential function is the function 
, exponentiation by e. It is a very important function in analysis, both real and complex.
Exponential functions are functions that grows or decays at a constant percent rate. Exponential functions that result in an increase of y is called an exponential growth. Exponential functions that result in an decrease of y is called an exponential decay.
Exponential functions are in one of three forms. 
, 
, where e is the irrational constant 2.71828182846...., or
, where h is the half-life (for decay), or d is the doubling time (for growth).
this page is still under construction...more to come very soon
