Function Mapping

Function Mapping. Function Notation Mapping Diagram We could say that a function is a rule that assigns a unique object in its range to each object in its domain A mapping diagram consists of two parallel columns..

Function as a special kind of relation: Let us recall and review the function as a special kind of relation suppose, A and B are two non-empty sets, then a rule 'f' that associates each element of A with a unique element of B is called a function or a mapping from A to B. A mapping diagram consists of two parallel columns..

Grammar as Functions

If we name the function f, then f maps 5 to 25, 6 to 36, −7 to 49, and so on. Usually, Arrows or Lines are drawn between domain and range to denote the relation between two elements. The idea of mapping gives us an alternative way to describe a function

. A relation \(R\) is called a mapping (map), or a function, or a transformation, iff every element \(x \in D_{R}\) Its like a flow chart for a function, showing the input and output values

. Function as a special kind of relation: Let us recall and review the function as a special kind of relation suppose, A and B are two non-empty sets, then a rule 'f' that associates each element of A with a unique element of B is called a function or a mapping from A to B. A function is a special kind of relationship between the inputs (domain) and their outputs (codomain) where each input has exactly one output