An example of an exponential function is ( f(x) = 2^x ). In this function, the base ( 2 ) is raised to the power of ( x ), which results in rapid growth as ( x ) increases. Exponential functions are characterized by their constant ratio of change, making them distinct from linear functions. Other examples include ( f(x) = e^x ) and ( f(x) = 5^{x-1} ).
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