https://file.aiquickdraw.com/mathbot/file/1728866541618fi1b4dtn.jpg

In the provided mapping diagram, we need to determine whether the mapping represents a function. For a mapping to be a function, every element in **Set A** must be associated with exactly one element in **Set B**.

### Analysis:
- In **Set A**: 3, -4, and 1.
- In **Set B**: 8, -3, and 0.

We observe that:
- 3 in **Set A** maps to 8 in **Set B**.
- -4 in **Set A** maps to -3 in **Set B**.
- 1 in **Set A** maps to 0 in **Set B**.

Since each element in **Set A** is associated with only one element in **Set B**, the mapping satisfies the condition of a function.

### Correct Filling of Blanks:
1. "The mapping diagram above **is** a function since..."
2. "...each element in **Set A**..."
3. "...is mapped to **exactly one** element in **Set B**..."
4. "...and there are **no repeated mappings**."

This would be the general approach to filling in the blanks based on the information given.

Would you like to discuss further details or explore related concepts? Here are some related questions for practice:

1. What is the definition of a function in mathematics?
2. Can a function have multiple outputs for the same input?
3. How do we identify if a set of ordered pairs represents a function?
4. What is the difference between a one-to-one function and a many-to-one function?
5. Can a function map different inputs to the same output?

### Tip:
When analyzing mappings, always check if every input has a single corresponding output to verify if it is a function.

Determine whether the given mapping diagram represents a function by analyzing the relationships between elements of Set A and Set B.

Analyze whether the provided mapping diagram represents a function by examining the connections between Set A and Set B. A function ensures that each element of Set A is paired with exactly one element of Set B.

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