Answer:

The exponential function is a function in mathematics. The application of this function to a value x is written as exp(x). Equivalently, this can be written in the form e^x, where e is a mathematical constant, the base of the natural logarithm, which equals approximately 2.718281828, and is also known as Euler's number.

Suppose a population of bacteria doubles in size every hour. If its population was 100 when first seen, then population P after t hours will be given by P = 100 x 2^t.

Any function which involves a power as seen above is called an exponential function. Another example is the amount £A accumulated after n years from investing £500 at 6% compound interest. A= 500 x 1.06².