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An example of a real life exponential function in electronics is the voltage across a capacitor or inductor when excited through a resistor. Another example is the amplitude aâ¦s a function of frequency of a signal passing through a filter, when past the -3db point.
The exponential function is one of the most important functions in mathematics (though it would have to admit that the linear function ranks even higher in importance). To form an exponential function, we let the independent variable be the exponent. A simple example is the function $$f(x)=2^x.$$. As illustrated in the above graph of $f$, the exponential function increases rapidly. Exponential functions are solutions to the simplest types of dynamical systems.