The problem asks us to determine whether the given mapping diagram represents a function, and to justify the answer by filling in the blanks. The mapping diagram shows the relationship between elements of Set A ($-3, 2, -4$) and Set B ($4, -1, -2$).

1. Problem Description

The problem asks us to determine whether the given mapping diagram represents a function, and to justify the answer by filling in the blanks. The mapping diagram shows the relationship between elements of Set A ($-3, 2, -4$) and Set B ($4, -1, -2$).

2. Solution Steps

A function is a relation where each input (element in Set A) is associated with exactly one output (element in Set B). In the given mapping diagram, we observe that:

- $-3$ is mapped to $4$.

- $2$ is mapped to $-1$.

- $-4$ is mapped to $-2$.

Each element in Set A is mapped to only one element in Set B. Therefore, the mapping diagram represents a function. For each number in Set A (the input), there is only one mapping from Set A to Set B (the output). There are no multiple mappings from Set A.

3. Final Answer

represents a function since for each number in Set A (the input) there are NOT multiple mappings from Set A (the output).