Determine whether the diagram depicts a function or not one is pointing to 6 3 is pointing to 5 8 is pointing to 0 and 5 0 is pointing to 8 5 is pointing to 3 and 8 6 is pointing to one

Answer 1

To determine if the diagram depicts a function, we need to check if each input has exactly one output. In mathematical terms, a relation is a function if no two different ordered pairs have the same first element (input) with different second elements (outputs).

Based on your description:

1. 6 points to 3
2. 5 points to 0
3. 8 points to 0
4. 5 points to 3
5. 6 points to 1

Now we can assess the above relations:

• The number 5 is associated with multiple outputs (once it points to 0 and once to 3).
• The number 6 also has a conflict where it points to both 3 and 1.

Since there are inputs (5 and 6) that have multiple outputs, this relation does not satisfy the definition of a function.

Conclusion: The relation depicted does not represent a function because some inputs are associated with more than one output.