Question

question
fill in the blanks below in order to justify whether or not the mapping shown represents a function.
set a
set b
answer
the mapping diagram above represents
a function since
are multiple mappings
to set b (the output)

in set a (the input)
where there
there is one number
for each number

Explanation:

Step1: Recall function definition

A function is a relation where every input (from Set A) has exactly one output (in Set B).

Step2: Analyze the mapping

Check each element in Set A:

• 1 maps only to 7
• 8 maps only to 3
• -3 maps only to 0

All inputs have one unique output.

Step3: Fill in the blanks

The mapping fits the function definition, so the first blank is "does", and the second blank is "no element".

Answer:

The mapping diagram above represents does a function since no element in Set A (the input) where there are multiple mappings to Set B (the output).
Justification: Each element in Set A has exactly one corresponding element in Set B, which satisfies the definition of a function.