Function Mapping

Function Mapping. In general, a function is denoted by f(x), where x is the input. If A and B are two non-empty sets, then a relation' from set A to set B is said to be a function or mapping, or mapping function

Mapping Diagram consists of two columns in which one denotes the domain of a function f whereas the other column denotes the Range The idea of mapping gives us an alternative way to describe a function

Does the mapping diagram represent a function? Why or why not? x 7 1

The value that is put into a function is the input The value that is put into a function is the input Since the set has no duplicates or repetitions in the X- Value, the relation is a function

. A map of vector spaces is a linear function; A map of topological spaces is a continuous function; A map of smooth manifolds is a smooth function; A map of measurable spaces is a measurable function; A map of varieties is a morphism; A map of sets is any function; Note that I deliberately avoided the term "map" in the predicates here. If we name the function f, then f maps 5 to 25, 6 to 36, −7 to 49, and so on.

. Mapping Diagrams A function is a special type of relation in which each element of the domain is paired with exactly one element in the range Let us see mapping diagram function and function mapping in a little more depth now