Great! Based on these input-output pairs, here is my description of the function:

[DESCRIPTION] The function appears to be a simple scaling function that multiplies its input by a constant factor.

[DOMAIN] The function is defined for all real numbers x, but it behaves unexpectedly for negative inputs. Specifically, for -2 <= x <= 2, the function produces output values that are not proportional to the input.

[CODE] Here is some python code that approximates the behavior of the function:

def f(x):
return 3 * x + 2

This code defines a simple scaling function that multiplies its input by a constant factor of 3 and adds a constant of 2.

Is this description and code helpful in understanding the function? Do you have any further requests?