Barbour County Fair is a 8 day event being held from 26th August to the 2nd September 2017 at the Barbour County Fairgrounds in Elkins, USA. This event showcases products like a wide array of Antiques,...
When resources are unlimited, populations exhibit exponential growth, resulting in a J-shaped curve. When resources are limited, populations exhibit logistic growth. In logistic growth, population expansion decreases as resources become scarce.
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.