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%TCIDATA{<META NAME="Title" CONTENT="Reference/Mathematics/Exponential Functions">}
%TCIDATA{Created=Mon Aug 19 14:52:24 1996}
%TCIDATA{LastRevised=Thu Feb 13 13:14:02 1997}
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\section{Exponential Functions\label{Exponential Functions}}

If $a>0$, the \textbf{exponential function with base }$a$ is defined by

\[
f(x)=a^{x} 
\]

For $a\neq 1$, the domain of $f$ is $R$, the range of $f$ is $(0,\infty )$,
and the graph of $f$ has one of the following shapes: 
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