https://www.chilimath.com › lessons › intermediate-algebra › relations-and-functions

Relations and Functions - Definition, Explanation & Examples | ChiliMath. Grasp the fundamental principles of relations and functions and acquire the ability to represent them using various formats like set notations, tables, graphs, and mapping diagrams.

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Types of Functions. In terms of relations, we can define the types of functions as: One to one function or Injective function: A function f: P → Q is said to be one to one if for each element of P there is a distinct element of Q. Many to one function: A function which maps two or more elements of P to the same element of set Q.

https://www.storyofmathematics.com › relations-and-functions

Types of Functions. Functions can be classified in terms of relations as follows: Injective or one-to-one function: The injective function f: P → Q implies that there is a distinct element of Q for each element of P. Many to one: The many to one function maps two or more P’s elements to the same element of set Q.

https://en.wikipedia.org › wiki › Relation_(mathematics)

A partial order is a relation that is reflexive, antisymmetric, and transitive, [3] an equivalence relation is a relation that is reflexive, symmetric, and transitive, [4] a function is a relation that is right-unique and left-total (see below). [5][6]

https://math.libretexts.org › Bookshelves › Algebra › Advanced_Algebra › 02:_Graphing_Functions...

Special relations where every \(x\)-value (input) corresponds to exactly one \(y\)-value (output) are called functions. We can easily determine whether or not an equation represents a function by performing the vertical line test on its graph.

https://math.libretexts.org › Courses › Highline_College › Math_098:_Intermediate_Algebra_for...

This section covers an introduction to both relations and function. The concept of domain and range are covered, and many examples are presented in visual, graphical and mathematical formats.