Answer:
In mathematics, a function is a fundamental concept that establishes a relationship between a set of input values, known as the domain, and a corresponding set of output values, termed the range. Functions are denoted by symbols like f(x) or y = f(x), where f represents the function and x is the input variable. The defining characteristic of a function is that each input value uniquely maps to a single output value. Functions can be graphically represented on a coordinate plane, illustrating the association between inputs and outputs. Functional notation, such as f(x), is commonly used to express functions, highlighting the dependence of the output on the input variable. Functions serve as essential tools in mathematics, enabling the modeling of relationships, analysis of variables, and the foundation for advanced mathematical concepts across various disciplines.
