In mathematics, a function is defined as a relation, numerical or symbolic, between a set of inputs (known as the function's domain) and a set of potential outputs (the function's codomain). The power of the Wolfram Language enables Wolfram|Alpha to compute properties both for generic functional forms input by the user and for hundreds of known special functions. Use our broad base of functionality to compute properties like periodicity, injectivity, parity, etc. for polynomial, elementary and other special functions.
Compute the domain and range of a mathematical function.
Determine the continuity of a mathematical function.
Compute properties of multiple families of special functions.
Determine the injectivity and surjectivity of a mathematical function.
Compute the period of a periodic function.
Get information about arithmetic functions, such as the Euler totient and Möbius functions, and use them to compute properties of positive integers.
Determine the parity of a mathematical function.
Compute alternative representations of a mathematical function.