An additive function is a type of mathematical function that satisfies the property of additivity. This means that for any two inputs, the function's output for their sum is equal to the sum of the outputs for each input separately. In simpler terms, if you have a function f, then for any numbers x and y, the equation f(x + y) = f(x) + f(y) holds true. Additive functions are commonly found in various areas of mathematics, including algebra and analysis. They can be used to describe linear relationships and are often associated with linear transformations. Understanding additive functions is essential for studying more complex mathematical concepts and can be applied in fields such as physics and economics.