![]() Power functions: raise a variable number to a fixed power also known as Allometric functions note: if the power is a rational number it is not strictly a transcendental function.Logarithms: the inverses of exponential functions useful to solve equations involving exponentials.Hyperbolic functions: formally similar to the trigonometric functions.Exponential function: raises a fixed number to a variable power.Transcendental functions are functions that are not algebraic. Cube root: Yields a number whose cube is the given one.Įlementary transcendental functions.Square root: Yields a number whose square is the given one.Rational functions: A ratio of two polynomials.Sextic function: Sixth degree polynomial.Quintic function: Fifth degree polynomial.Quartic function: Fourth degree polynomial.Cubic function: Third degree polynomial.Quadratic function: Second degree polynomial, graph is a parabola.Linear function: First degree polynomial, graph is a straight line.Constant function: polynomial of degree zero, graph is a horizontal straight line.Polynomials: Can be generated solely by addition, multiplication, and raising to the power of a positive integer.addition, exponentials, logarithms.)Īlgebraic functions are functions that can be expressed as the solution of a polynomial equation with integer coefficients. See also List of types of functions Elementary functions Įlementary functions are functions built from basic operations (e.g. A modern, abstract point of view contrasts large function spaces, which are infinite-dimensional and within which most functions are 'anonymous', with special functions picked out by properties such as symmetry, or relationship to harmonic analysis and group representations. There is a large theory of special functions which developed out of statistics and mathematical physics. This is a listing of articles which explain some of these functions in more detail. In mathematics, some functions or groups of functions are important enough to deserve their own names.
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