four relations are shown below. click on the tabs to see them.\nrelation 1 relation 2 relation 3 relation…

four relations are shown below. click on the tabs to see them.\nrelation 1 relation 2 relation 3 relation 4\ndomain range\na → h\nz → z\nz → a\nh → z\nx → a\ncheck the box corresponding to each relation that represents a function.\n☑️ relation 1 ☐ relation 2 ☐ relation 3 ☐ relation 4 ☐ none of the relations

four relations are shown below. click on the tabs to see them.\nrelation 1 relation 2 relation 3 relation 4\ndomain range\na → h\nz → z\nz → a\nh → z\nx → a\ncheck the box corresponding to each relation that represents a function.\n☑️ relation 1 ☐ relation 2 ☐ relation 3 ☐ relation 4 ☐ none of the relations

Answer

Explanation:

Step1: Recall the definition of a function

A relation is a function if each element in the domain is paired with exactly one element in the range.

Step2: Analyze Relation 2

In Relation 2, the domain element ( z ) is paired with two range elements (( z ) and ( h )? Wait, looking at the mapping: ( a \to h ), ( z \to z ) and ( z \to h )? Wait, no, the diagram: ( a ) points to ( h ), ( z ) points to ( z ) and ( z ) points to ( h )? Wait, no, let's re - examine. The domain elements are ( a ), ( z ), ( h ), ( x ). The element ( z ) in the domain is mapped to two different elements in the range (from the diagram, ( z ) has two arrows). So by the definition of a function, since one domain element (( z )) is associated with more than one range element, Relation 2 is not a function.

(Note: Since the problem is about determining if a relation is a function, and we are analyzing Relation 2 here. If we assume that Relation 1 is a function (as it's checked, but we need to confirm for Relation 2), but the key point for Relation 2 is the domain element ( z ) has multiple mappings. So Relation 2 is not a function. But the question is about checking which relations are functions. Since the user's current check for Relation 1 is correct (assuming Relation 1 has each domain element with one range element), and Relation 2 is not a function because ( z ) is mapped to two elements. So the box for Relation 2 should not be checked.)

Answer:

The box for Relation 2 should remain unchecked (i.e., the correct status is that Relation 2 is not a function, so the checkbox for Relation 2 is not selected). If we were to state the correct selection for Relation 2: (\square) Relation 2 (not checked, as it is not a function).