Question

fill in the blanks below in order to justify whether or not the mapping shown represents a function.
set a set b
1 → 7
8 → 3
8 → -1
-3 → 0
answer
the mapping diagram above a function since

Explanation:

Step1: Recall Function Definition

A function is a relation where each element in the domain (Set A) is paired with exactly one element in the codomain (Set B).

Step2: Analyze Set A Elements

• Element 1 in Set A maps to 7 (only one mapping).
• Element 8 in Set A maps to 3 and -1 (two mappings).
• Element -3 in Set A maps to 0 (only one mapping).

Step3: Determine if Function

Since element 8 in Set A has more than one mapping to Set B, the relation does not satisfy the function definition.

Answer:

The mapping diagram above does not represent a function since the element 8 in Set A is mapped to more than one element (3 and -1) in Set B.