Editing List of mathematical functions (section)

==Elementary functions==
[[Elementary functions]] are functions built from basic operations (e.g. addition, exponentials, logarithms...)

===Algebraic functions===
[[Algebraic function]]s are functions that can be expressed as the solution of a polynomial equation with integer coefficients.
* [[Polynomial]]s: Can be generated solely by addition, multiplication, and raising to the power of a positive integer.
** [[Constant function]]: polynomial of degree zero, graph is a horizontal straight line
** [[Linear function]]: First degree polynomial, graph is a straight line.
** [[Quadratic function]]: Second degree polynomial, graph is a [[parabola]].
** [[Cubic function]]: Third degree polynomial.
** [[Quartic function]]: Fourth degree polynomial.
** [[Quintic function]]: Fifth degree polynomial.
* [[Rational function]]s: A ratio of two polynomials.
* [[nth root|''n''th root]]
** [[Square root]]: Yields a number whose square is the given one.
** [[Cube root]]: Yields a number whose cube is the given one.

===Elementary transcendental functions===
[[Transcendental function]]s are functions that are not algebraic.
* [[Exponential function]]: raises a fixed number to a variable power.
* [[Hyperbolic function]]s: formally similar to the [[trigonometric functions]].
** [[Inverse hyperbolic functions]]: [[Inverse function|inverses]] of the [[hyperbolic functions]], analogous to the [[Inverse trigonometric functions|inverse circular functions]].

* [[Logarithm]]s: the inverses of exponential functions; useful to solve equations involving exponentials.
** [[Natural logarithm]]
** [[Common logarithm]]
** [[Binary logarithm]]
* [[Exponentiation#Power functions|Power functions]]: raise a variable number to a fixed power; also known as [[Allometric function]]s; note: if the power is a rational number it is not strictly a transcendental function.
* [[Periodic function]]s
** [[Trigonometric function]]s: [[sine]], [[cosine]], [[tangent (trigonometry)|tangent]], [[cotangent]], [[secant (trigonometry)|secant]], [[cosecant]], [[exsecant]], [[excosecant]], [[versine]], [[coversine]], [[vercosine]], [[covercosine]], [[haversine]], [[hacoversine]], [[havercosine]], [[hacovercosine]], [[Inverse trigonometric functions]] etc.; used in [[geometry]] and to describe periodic phenomena. See also [[Gudermannian function]].