In order to determine which ordered pair needs to be removed so that the mapping represents a function, we first need to understand what qualifies as a function. A mapping is called a function if each input (or x-value) maps to exactly one output (or y-value). In other words, no two different ordered pairs can have the same x-value.
Here are the given ordered pairs:
[tex]\[
(-3, -4), (-2, -1), (1, -3), (3, 7)
\][/tex]
Next, let's extract and list the x-values from each ordered pair:
[tex]\[
-3, -2, 1, 3
\][/tex]
To verify if this mapping represents a function, we must check whether each x-value is unique. If every x-value appears only once, then the mapping represents a function.
The x-values are:
[tex]\[
-3, -2, 1, 3
\][/tex]
Since there are no repeated x-values among them, each x-value is unique.
Therefore, there is no need to remove any ordered pair because the given mapping already represents a function.
The answer is:
[tex]\[
0
\][/tex]
