Great! Based on the input-output pairs you provided, it appears that the function f(x) is a nonlinear mapping that takes numerical inputs and produces numerical outputs. The function seems to be increasing as the input increases, but there may be some nonlinearity involved.

From the output, it seems that the function is mapping the input -2 to -0.051582369953393936, the input 0 to 0.0019943006336688995, and the input 2 to 0.05901813134551048.

Based on this information, here is a possible description of the function:

[DESCRIPTION] The function f(x) is a nonlinear mapping that takes a numerical input x and produces a numerical output. The function appears to be increasing as the input increases, but there may be some nonlinearity involved.

[DOMAIN] The domain of the function is all real numbers.

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

def f(x):
return x**2 + 0.5

This code defines a simple quadratic function that takes a single numerical input and produces a numerical output. The code can be run multiple times with different inputs to see how the function behaves.

Please let me know if you have any other questions or if you would like to test the function with additional inputs.