It looks like you are working with a question related to determining whether a mapping between two sets represents a function. Let's break down how to fill in the blanks to determine if the mapping is a function.

Key Concept:

• A function is a relation where each element of the domain (Set A) is mapped to exactly one element in the range (Set B). This means that no element in Set A should be mapped to more than one element in Set B.

To fill in the blanks correctly:

1. The mapping diagram above:
   This part of the sentence is likely referring to the diagram provided in your problem.

2. A function or not a function:
   Based on the relationship between Set A and Set B, you will determine if it is a function. If each element in Set A is linked to exactly one element in Set B, then it is a function. Otherwise, it is not a function.

3. Since element(s) in Set A:
   This should describe whether or not elements in Set A are mapped to multiple elements in Set B.

4. Where there is/are:
   You would describe any element(s) that violate the function rule if it’s not a function.

An example of a completed answer could be:

The mapping diagram above is a function since each element in Set A is mapped to exactly one element in Set B where there are no elements in Set A mapped to more than one element in Set B.

If any element in Set A is mapped to more than one element in Set B, the answer would change to "is not a function."

Do you have a specific mapping diagram that I can help you interpret? If you need more examples, let me know!

Related Questions:

1. What defines a function in mathematical terms?
2. Can an element in Set B be mapped to multiple elements in Set A and still be a function?
3. How do you visually identify a function in a mapping diagram?
4. What is the difference between a relation and a function?
5. How would the mapping diagram change if an element in Set A had multiple arrows?

Tip:

To check if a mapping is a function, ensure that each element from the domain (Set A) points to only one element in the range (Set B).