Question

question
fill in the blanks below in order to justify whether or not the mapping shown represents a function.
answer attempt 1 out of 2
the mapping diagram above
a function since
in
when there

Explanation:

Step1: Recall function definition

A function is a mapping where each input in the domain (Set A) has exactly one output in the codomain (Set B).

Step2: Analyze the given mapping

Check each element in Set A:

• $-4$ maps to $-3$ (one output)
• $0$ maps to $-2$ (one output)
• $3$ maps to $7$ (one output)

Every element in Set A has exactly one corresponding element in Set B.

Step3: Complete the justification blanks

The mapping follows the definition of a function because no input has multiple outputs.

Answer:

The mapping diagram above is a function since every element in Set A has exactly one corresponding element in Set B, where there are no inputs with more than one output.