If the base b in an exponential function is greater than 1 b 1 then the function represents exponential growth. This is an example for the function f x 2 e3x This is just a particular case of the general form f x a ekx where a is a constant representing the value at start and k is the rate of growth when k 0 or the rate of decay when k 0. The rapid growth can also be known as an exponential decrease.
Exponential decay is the change that occurs when an original amount is reduced by a consistent rate over a period of time.
Final amount remaining after the decay over a period of time. Lets say we have something that and Ill do this on a table here. Since we know the half-life we can compute the decay rate directly using the formula. Find the exponential decay function that models the population of frogs.