Regressive functions are mathematical functions that decrease in value as their input increases. In simpler terms, when you plug in larger numbers, the output becomes smaller. This behavior is often observed in certain types of equations and can be useful in various fields, such as economics and statistics, where understanding decreasing trends is important. An example of a regressive function is the inverse function, which can be represented as f(x) = \frac1x . As the value of x increases, the output f(x) gets closer to zero. Understanding regressive functions helps in analyzing relationships where one variable diminishes as another grows, providing insights into patterns and trends in data.