Exponential functions | Wiskunde op Tilburg University

Definition: A function of the form

$y(x)=a^x,$
where

$a$ (

$a \neq 1)$ is a positive number, is called an exponential function with base

$a$ .

Remark: For

$a=1$ we get the function

$y(x)=1^x=1$ for all

$x$ .

Example:

$y(x)=5^x$ is an example of an exponential function.