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A function is a specific type of mapping that assigns exactly one output for each input from a given set, adhering to the rule that each input must have a unique output. In contrast, a mapping can refer to any relationship between two sets, where an element from the first set can be associated with multiple elements in the second set. Essentially, all functions are mappings, but not all mappings are functions. The distinction lies in the uniqueness of outputs for each input in functions.

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Related Questions

What is the difference between relations and functions?

A function is a relation whose mapping is a bijection.


What is the mapping between a set of input and a set of output?

It is simply a mapping. It could be a function but there are several conditions that need to be met before the mapping can become a function and there is no basis for assuming that those conditions are met.


What is mapping between a set of inputs and a set of outputs?

It is simply a mapping. It could be a function but there are several conditions that need to be met before the mapping can become a function and there is no basis for assuming that those conditions are met.


What is the mapping between a set of inputs and a set out outputs?

It is simply a mapping. It could be a function but there are several conditions that need to be met before the mapping can become a function and there is no basis for assuming that those conditions are met.


What is The mapping between a set of inputs and a set of outputs?

It is simply a mapping. It could be a function but there are several conditions that need to be met before the mapping can become a function and there is no basis for assuming that those conditions are met.


What is direct mapping and mapping function?

it means mapping directly


What is the difference between static mapping and dynamic mapping?

Static mapping refers to a fixed, predefined relationship between two entities, where the mapping does not change over time. Dynamic mapping, on the other hand, involves a flexible relationship that can change based on conditions or inputs, allowing for adaptability and reconfiguration.


Example of fundamental difference between a polynomial function and an exponential function?

fundamental difference between a polynomial function and an exponential function?


What are the four types of mapping diagram?

The four types of mapping diagrams are: Function Mapping Diagrams: These illustrate the relationship between inputs and outputs in a function, typically showing how each input is uniquely paired with one output. Relation Mapping Diagrams: These represent relationships between sets where an input can be related to one or more outputs, highlighting non-function relationships. Set Mapping Diagrams: These visualize the connections between different sets, showing how elements from one set relate to elements in another. Venn Diagrams: A specific type of set mapping, Venn diagrams depict the relationships and intersections between different sets, helping to visualize common and unique elements.


What is the difference between information mapping and mind mapping?

Well, information mapping is when you look up and find new information and put it in a form of text e.g map whilst mind mapping is when you write the information you already know in a form of text.


What is the pairing between the elements of two set according to some rules?

A mapping, which may or may not be a function.


A mapping diagram can be used to represent a function or a relation?

A mapping diagram can be used to represent a function or a relation true or false?

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