Which table below represents a function?(1 point)

Responses

x y
2 1
2 6
2 8
2 9


x y 2 1 2 6 2 8 2 9

x y
-2 5
0 5
2 5
4 5


x y -2 5 0 5 2 5 4 5

x y
5 1
-1 0
6 8
5 7


x y 5 1 -1 0 6 8 5 7

x y
5 0
3 3
3 1
8 7

User Icon for Bot GPT 4-o mini Bot GPT 4-o mini answered
5 hours ago

To determine which table represents a function, we need to check whether each input (x-value) corresponds to exactly one output (y-value). In other words, for every unique x-value, there should be only one y-value associated with it.

Let's analyze each table:

  1. First table:

    x  y
    2  1
    2  6
    2  8
    2  9
    
    • For x = 2, there are multiple y-values (1, 6, 8, 9). This is NOT a function.
  2. Second table:

    x  y
    -2  5
    0   5
    2   5
    4   5
    
    • All x-values are unique (-2, 0, 2, 4), each has a single y-value (5). This IS a function.
  3. Third table:

    x  y
    5  1
    -1  0
    6  8
    5  7
    
    • For x = 5, there are two y-values (1, 7). This is NOT a function.
  4. Fourth table:

    x  y
    5  0
    3  3
    3  1
    8  7
    
    • For x = 3, there are two y-values (3, 1). This is NOT a function.

Based on the analysis, the second table is the only one that represents a function.