* **Table 1:** Shows the relationship between x and f(x) using specific numerical values.
* **Table 2:** Similar to Table 1, showing different values for x and f(x). Notice the symmetry of the f(x) values for positive and negative x, which matches Table 1. That implies a quadratic relationship between x and f(x) for both tables.
* **Table 3:** x has values from -4 to 4, f(x) shows a linear relationship (consistent change). The corresponding output f(x) values are consistent with values that appear to be a different function than Tables 1 and 2.
* **Table 4:** A different set of input and output values than previous tables. Input x values with an output increasing linearly.
* **Table 5:** Presents yet another set of input and output data points. The output values increase (roughly) linearly with input x. Values are increasing at a consistent rate within each table.
The tables likely represent different mathematical functions, each showing a unique relationship between an input (x) and an output (f(x)).
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
1 answer
Based on the description provided, Table 1 and Table 2 show a symmetry in their outputs (f(x) values) for positive and negative inputs (x), which indicates a quadratic relationship. Quadratic functions are not linear.
Table 3, Table 4, and Table 5 all show consistent or linear changes in their output values as the input (x) increases, indicating that they are linear functions.
Therefore, the tables that do not represent a linear function are:
Table 1 and Table 2.
