To solve the problem shown in the image, we need to identify the set of ordered pairs that correctly defines the given relation.

Analyzing the Relation

The diagram shows a relation between two sets:

• The first set contains the elements $3$, $4$, and $5$.
• The second set contains the elements $0.0$, $-1$, and $-2$.

The arrows indicate the relationships between elements of these two sets.

Ordered Pairs

The ordered pairs are formed by matching elements from the first set (domain) with elements from the second set (range) according to the arrows.

From the diagram:

• $3$ is related to $0.0$
• $4$ is related to $-1$
• $5$ is related to $-2$

Correct Set of Ordered Pairs

Based on the analysis, the correct set of ordered pairs defining this relation is:

$\{ (3, 0.0), (4, -1), (5, -2) \}$

Would you like to dive deeper into any specific part of this problem, or do you have any other questions?

Related Questions:

1. What is the difference between a relation and a function?
2. How do you determine the domain and range of a relation?
3. Can a relation be both a function and not a function? How?
4. What is an example of a relation that is not a function?
5. How do you represent a relation using a graph?

Tip:

When analyzing relations, always check if each element in the domain is paired with only one element in the range. If it is, then the relation is also a function.