The problem asks us to determine if a given mapping diagram represents a function and to justify our answer by filling in the blanks. The mapping diagram shows the relationship between elements in set A and set B. Set A contains the elements 8, 9, 1, and 2. Set B contains the elements 4, -2, -4, and 3. The mappings are: 8 maps to 4, 9 maps to -2, 1 maps to -4, and 2 maps to 3.

1. Problem Description

The problem asks us to determine if a given mapping diagram represents a function and to justify our answer by filling in the blanks. The mapping diagram shows the relationship between elements in set A and set B. Set A contains the elements 8, 9, 1, and

2. Set B contains the elements 4, -2, -4, and

3. The mappings are: 8 maps to 4, 9 maps to -2, 1 maps to -4, and 2 maps to

3.

2. Solution Steps

A mapping diagram represents a function if each element in the domain (set A) maps to exactly one element in the range (set B). In this case, each element in set A (8, 9, 1, and 2) maps to only one element in set B. Therefore, the mapping diagram represents a function. The reason is that no element in set A maps to more than one element in set B.

3. Final Answer

The mapping diagram above _is_ a function since _each element_ in _set A_ maps to _only one_ element in _set B_.