Question
Five tables are displayed. Each table has two columns, one labeled "x" and the other labeled "f(x)". The tables contain numerical data, which appear to be coordinate pairs. Table 1 shows x values ranging from -4 to 4 and corresponding f(x) values. Table 2 has a similar structure with the same range of x values. Table 3, Table 4, and Table 5 each have a similar structure but different values within. The x values in all tables are integers. The f(x) values are also integers in Tables 1, 3, 4 and integers in Table 2 are greater than 0.
Which of these tables DOES NOT represent a Linear function?
Responses
Table 1
Table 1
Table 2
Table 2
Table 3
Table 3
Table 4
Table 4
Table 5
CHOOSE ONE INFANT
Which of these tables DOES NOT represent a Linear function?
Responses
Table 1
Table 1
Table 2
Table 2
Table 3
Table 3
Table 4
Table 4
Table 5
CHOOSE ONE INFANT
Answers
GPT-4o mini
To determine which of the tables does not represent a linear function, we need to assess the relationship between the x values and the f(x) values for each table. A linear function can be identified by the property that the change in f(x) resulting from the change in x is constant (i.e., the same slope between any two points).
Since the specific data points in the tables are not provided here, I cannot directly analyze the tables for you. However, you can determine which table does not represent a linear function by following these steps:
1. **Identify the change in f(x) for equal changes in x:** For each table, check how many units f(x) increases or decreases as x increases by 1 unit.
2. **Consistency of the change:** If the change in f(x) is not consistent (i.e., it differs for different values of x), then that table does not represent a linear function.
3. **Look for patterns:** If you see any quadratic, exponential, or other non-linear patterns in the f(x) values as x changes, that table does not represent a linear function.
If you can share the specific numerical data from the tables, I can offer a more detailed analysis to identify which table does not represent a linear function.
Since the specific data points in the tables are not provided here, I cannot directly analyze the tables for you. However, you can determine which table does not represent a linear function by following these steps:
1. **Identify the change in f(x) for equal changes in x:** For each table, check how many units f(x) increases or decreases as x increases by 1 unit.
2. **Consistency of the change:** If the change in f(x) is not consistent (i.e., it differs for different values of x), then that table does not represent a linear function.
3. **Look for patterns:** If you see any quadratic, exponential, or other non-linear patterns in the f(x) values as x changes, that table does not represent a linear function.
If you can share the specific numerical data from the tables, I can offer a more detailed analysis to identify which table does not represent a linear function.