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
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
Answers
GPT-4o mini
To determine which table does not represent a linear function, we need to check if the relationship between the x values and f(x) values follows a linear pattern, specifically that there is a consistent change (constant difference) between the f(x) values as x changes.
A linear function will have equal differences in the f(x) values when x changes by a constant amount. For example, if you have f(x) values of 2, 4, 6, and 8 corresponding to x values of -2, 0, 2, 4, the differences are constant (+2).
Since you provided a general context but no specific values from the tables, I cannot directly analyze which one does not represent a linear function without seeing the actual f(x) values for each table. If you can share the specific f(x) values for the tables, I can help you determine which table does not represent a linear function.
A linear function will have equal differences in the f(x) values when x changes by a constant amount. For example, if you have f(x) values of 2, 4, 6, and 8 corresponding to x values of -2, 0, 2, 4, the differences are constant (+2).
Since you provided a general context but no specific values from the tables, I cannot directly analyze which one does not represent a linear function without seeing the actual f(x) values for each table. If you can share the specific f(x) values for the tables, I can help you determine which table does not represent a linear function.