Answer: Tables 2,3,4.
Step-by-step explanation:
A relation is considered a function if each input (x-value) is associated with exactly one output (y-value). To determine if a table represents a function, we need to check if each x-value is paired with only one y-value.
Let's analyze each table:
�
�
xy:
�
�
3
−
2
3
−
1
3
0
3
2
x
3
3
3
3
y
−2
−1
0
2
In this table, the x-value 3 is associated with multiple y-values (-2, -1, 0, and 2). Therefore, this relation is not a function.
�
�
xy:
�
�
−
3
−
3
−
1
−
3
0
3
0
−
3
2
3
x
−3
−1
0
0
2
y
−3
−3
3
−3
3
In this table, each x-value is paired with only one y-value. Therefore, this relation is a function.
�
�
xy:
�
�
−
4
−
3
−
3
−
1
−
2
1
−
1
2
1
1
x
−4
−3
−2
−1
1
y
−3
−1
1
2
1
In this table, each x-value is paired with only one y-value. Therefore, this relation is a function.
�
�
xy:
�
�
−
2
0
−
1
−
1
0
1
2
0
5
2
x
−2
−1
0
2
5
y
0
−1
1
0
2
In this table, each x-value is paired with only one y-value. Therefore, this relation is a function.
So, out of the given tables, tables 2, 3, and 4 represent relations that are functions.
