Murdock 1
Zak Murdock
Pd. 8
121106
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 xaxis therefore it does not have a xintercept.
However, the
function does have a yintercept, 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 xaxis and decrease from left to right.
Also if a number is added or subtracted
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 Spring '10
 PADAMSEE
 Physics, Derivative, Limit of a function, Exponentiation, Complex number

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