Algebraic functions are mathematical expressions that involve variables and constants combined using operations such as addition, subtraction, multiplication, and division. These functions can be represented in various forms, including equations, graphs, and tables. A common example of an algebraic function is a polynomial, which can have terms like x², 3x, or 5. Algebraic functions can be classified based on their degree, which is the highest power of the variable in the function. For instance, a linear function has a degree of one, while a quadratic function has a degree of two. Understanding algebraic functions is essential for solving equations and modeling real-world situations in fields like science and engineering.