Question

fill in the blanks below in order to justify whether or not the mapping shown represents a function.
set a
set b
-4→-3
2→-3
2→-2
5→7
answer attempt 1 out of 3
the mapping diagram above
a function since
in
where there

.

Explanation:

Step1: Recall the definition of a function

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 the mapping for each element in Set A

• For \(-4\) in Set A: It maps to \(-3\) (only one mapping).
• For \(2\) in Set A: It maps to \(-3\) and \(-2\) (two mappings).
• For \(5\) in Set A: It maps to \(7\) (only one mapping).

Since the element \(2\) in Set A is mapped to more than one element in Set B, the mapping does not satisfy the definition of a function.

Answer:

The mapping diagram above \(\boldsymbol{\text{is not}}\) a function since \(\boldsymbol{\text{the element } 2}\) in \(\boldsymbol{\text{Set A}}\) where there \(\boldsymbol{\text{are two different mappings (to } -3 \text{ and } -2\text{)}}\).