Which table represents a function? Table 1: - Column x: -3, 0, -2, 8 - Column y: -1, 0, -1, 1 Table 2: - Column x: -5, 0, -5, 6 - Column y: -5, 0, 5, -6 Table 3: - Column x: -4, -2, -2, 0 - Column y: 8, 2, 4, 2 Table 4: - Column x: -4, 3, 1, -4 - Column y: 2, 5, 3, 0

 To determine which table represents a function, you need to check if each input (x value) corresponds to exactly one output (y value). In other words, a function can only have one output for each distinct input.

Let's analyze each table to determine if they represent a function:

Table 1: - Column x: -3, 0, -2, 8 - Column y: -1, 0, -1, 1 Each x value is paired with only one y value. There are no repeating x values. Therefore, Table 1 does represent a function.

Table 2: - Column x: -5, 0, -5, 6 - Column y: -5, 0, 5, -6 The x value -5 appears twice and is paired with two different y values (-5 and 5). This means that a single input (-5) is giving us two different outputs, which violates the definition of a function. Table 2 does not represent a function.

Table 3: - Column x: -4, -2, -2, 0 - Column y: 8, 2, 4, 2 The x value -2 appears twice and is paired with two different y values (2 and 4). Just like Table 2, this means that the same input (-2) has more than one output. Table 3 does not represent a function.

Table 4: - Column x: -4, 3, 1, -4 - Column y: 2, 5, 3, 0 The x value -4 appears twice but is paired with two different y values (2 and 0). This is another example of an input (-4) being associated with multiple outputs. Table 4 does not represent a function.

Based on this analysis, only Table 1 represents a function as it adheres to the definition of a function where each x value is associated with exactly one y value.