An increasing function is a type of mathematical function where, as the input value increases, the output value also increases. This means that for any two points on the function, if the first input is less than the second, the output of the first will be less than the output of the second. In simpler terms, as you move to the right on the graph of the function, the values go up. Increasing functions can be represented in various forms, such as linear functions or polynomial functions. A common example is the function f(x) = x, which increases steadily as x increases. Understanding increasing functions is essential in fields like calculus and economics, where they help analyze trends and behaviors.