To determine if the mapping shown represents a function, we need to see if each element in Set A (the domain) maps to exactly one unique element in Set B (the range).

Here’s the analysis based on the diagram:

1. Each element in Set A should map to only one element in Set B for it to be a function.
2. From the diagram:
   • $6 \rightarrow 1$
   • $2 \rightarrow -3$
   • $7 \rightarrow -4$

Each element in Set A has only one corresponding element in Set B, with no element mapping to more than one output. Thus, this is a valid function.

Filling in the Blanks

The completed sentence should read:

• "The mapping diagram above represents a function since each element in Set A has only one image in Set B."

Would you like further clarification or details?

Here are some related questions:

1. How would the mapping change if one element in Set A mapped to multiple elements in Set B?
2. Can a function have elements in Set B without a corresponding element in Set A?
3. What is the difference between a function and a relation in terms of mapping?
4. How would you define the domain and range in this context?
5. Could the roles of Set A and Set B be reversed in a different type of mapping?

Tip: A function must map each input in the domain to a unique output in the range, but multiple inputs can map to the same output.