Exponential Functions

Exponential Functions - Murdock 1 Zak Murdock Pd 8...

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Murdock 1 Zak Murdock Pd. 8 12-11-06 Exponential Functions The exponential function is one of the most important functions in mathematics. It is written as f (x)=a x where a is the constant or base of the function, and x is the exponent. All exponential functions are continuous, however they may have an asymptote, usually either one vertical or one horizontal. The basic exponential function f (x)=a x has a horizontal asymptote at zero. Because the function has a vertical asymptote, it does not cross the x-axis therefore it does not have a x-intercept. However, the function does have a y-intercept, which is at positive one. The domain for the basic exponential function is negative infinity to infinity, where as the range is zero to infinity due to the horizontal asymptote. If the base of the function is positive, then it will increase from left to right, however if the base is negative then the function will reflect upon the x-axis and decrease from left to right. Also if a number is added or subtracted
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This note was uploaded on 04/28/2010 for the course PHYSICS 213 taught by Professor Padamsee during the Spring '10 term at Cornell.

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Exponential Functions - Murdock 1 Zak Murdock Pd 8...

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