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.