Question

fill in the blanks below in order to justify whether or not the mapping shown represents a function.
set a
set b
-2
7
-4
9
0
-1
answer attempt 1 out of 2
the mapping diagram above does not represent a function since in set a (the input) where there
to set b (the output)
there is one number
for each number

Explanation:

Step1: Recall function definition

A function requires every input in Set A to map to exactly one output in Set B.

Step2: Analyze the mapping

In Set A, the input -4 maps to two outputs: 7 and -1.

Step3: Match to the blank

The mapping fails because there exists an input in Set A with multiple outputs. The correct phrase to complete the justification is that there is an input where it does not map to only one output; from the dropdown, the logical completion is that the issue is not "there is one number for each number", but rather the opposite: an input has multiple outputs. The correct blank fill is identifying that an input in Set A maps to more than one output, which aligns with the dropdown context to state the violation:

The mapping diagram above does NOT represent a function since there is a number in Set A (the input) where there is more than one mapping to Set B (the output). From the given dropdown options, the correct phrase to complete the logic is:

Answer:

The mapping diagram above does NOT represent a function since there is one number in Set A (the input) where there is more than one mapping to Set B (the output).

(Note: The dropdown option "there is one number" is used to identify the single input (-4) that violates the function rule, as it maps to two distinct outputs in Set B.)