https://file.aiquickdraw.com/mathbot/file/1730406935296ubqd95v8.jpg

To determine if the mapping represents a function, let's examine the criteria for a function: each element in the domain (Set A) should map to exactly one element in the codomain (Set B).

### Analysis of the Mapping Diagram

1. **Elements in Set A**:
   - 4 maps to 7.
   - 9 maps to 5.
   - -2 maps to both -4 and 5.

2. **Criteria for a Function**:
   - A relation is a function if each element in the domain (Set A) has a single, unique mapping to an element in the codomain (Set B).
   - Here, the element **-2** in Set A maps to both **-4** and **5** in Set B. This means that **-2** has more than one mapping, which violates the definition of a function.

### Conclusion
The mapping diagram **does not represent a function** because there is an element in Set A (namely, -2) that maps to more than one element in Set B.

### Suggested Answers for the Fill-in-the-Blanks
- The mapping diagram above **does not represent** a function since **there is an element** in **Set A** where there **are multiple mappings**.

Would you like further details or explanations? 

Here are some related questions for deeper understanding:
1. What defines a function in terms of mappings between two sets?
2. How would the mapping need to change to qualify as a function?
3. Can a function have multiple elements in Set A map to the same element in Set B?
4. What is the difference between a relation and a function?
5. How can we visually identify a function in a mapping diagram?

**Tip**: In a mapping diagram, check if any single element in the domain (Set A) points to more than one element in the codomain (Set B) to determine if it’s not a function.

Fill in the blanks below in order to justify whether or not the mapping shown represents a function.

Learn how to determine if a mapping diagram represents a function by analyzing the relationships between elements in Set A and Set B. Understand the criteria for a function, where each element in the domain maps to exactly one element in the codomain. This problem is ideal for students in Grades 8-10.

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