A power function is a mathematical expression in which a variable is raised to a particular exponent. Synonyms for this term include exponential function, polynomial function, and algebraic function. The exponential function is a type of power function in which the exponent is a constant known as the base. Polynomial functions are power functions in which the variable is raised to integer exponents, and the coefficients can be any real numbers. An algebraic function is a function that can be expressed as a finite combination of polynomial functions with rational coefficients. All of these terms have similar meanings, and they describe the relationship between variables and exponents in mathematical expressions.