Respuesta :

Correspondence between name and family name defines a function? Justify.

A function is a specific type of relation in which each input value has one and only one output value . An input is the independent value, and the output value is the dependent value because it depends on the value of the input.

Correspondence between a name and a family name does not define a function.

Because there can be many output in a single input.

For example:
Input                          Output
Name                        Family Name
Jennifer                     Lopez
                                   Lawrence
                                   Hudson  == as you can see, there are many outputs                                                          in a single input. It is not a function.

Input                        Output
Family Name          Name
Obama                    Barack
                                  Michelle
                                 Malia  = not a function, single input, numerous output

An example of a function is:

Name of President            Name of Country
Barack Obama                      USA        

- only one country corresponds to that name of the president.

However, if we interchange it. It will not be a function because there are a lot of names of presidents in the country USA.