Question

question
fill in the blanks below in order to justify whether or not the mapping shown represents a function.
the mapping diagram above represents
a function since there is one number
in set a (the input)
where there
to set b (the output)
.
answer attempt 2 out of 2
is only one mapping
are multiple mappings
is no mapping

Explanation:

Step1: Recall function definition

A function is a mapping where every input has exactly one output.

Step2: Analyze the mapping diagram

Check each element in Set A:

• $-4$ maps to $-3$ (one mapping)
• $0$ maps to $-2$ (one mapping)
• $3$ maps to $-2$ and $7$ (two mappings)

Step3: Match to blank options

The input $3$ in Set A has multiple mappings to Set B, so the mapping is not a function.

Answer:

The mapping diagram above does not represent a function since there is one number ($3$) in Set A (the input) where there are multiple mappings to Set B (the output).