Answer :

The classification of the relations as functions or not functions are given as follows:

  • Relation 1: Function.
  • Relation 2: Function.
  • Relation 3: Not a function.
  • Relation 4: Not a function.

When does a relation represents a function?

A relation represents a function if, and only if, each value of the input is mapped to only one value of the output.

Hence the relations for this problem are classified as follows:

  • Relation 1: Function, as each of the four inputs, that is, each of the four elements of the domain are connected to only one element of the range.
  • Relation 2: Function, as each element of the domain is mapped to only one element of the range, which is the output.
  • Relation 3: Not a function, as the input of z is mapped to two outputs, which are sun and desk;
  • Relation 4: Not a function, as the input 3 is mapped to three outputs, which are 6, -6 and -7.

More can be learned about relations and functions at https://brainly.com/question/12463448

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