Asymptotic – Functional operations with data.

I have the following data (a shorter sample of all the data):

data = {{1, {{0, 1}}}, {3/2, {{0, 1}}}, {2, {{0, 1}}}, {5/2, {{0, 1}}}, {3, {{0, 1}}}, {7/2, {{2, 1}, {1, 0}, {0, 1}}}, {4, {{2, 1}, {1, 0}, {0, 1}}}, {9/2, {{3, 1}, {2, 1}, {1, 0}, {0, 1}}}, { 5, {{3, 1}, {2, 1}, {1, 0}, {0, 1}}}}

A generic element in the data is given by, {9/2, {{3, 1}, {2, 1}, {1, 0}, {0, 1}}}.

The 1st entry of it is some X. Given the X, there may be different Y values ‚Äč‚Äčnamely there is only one y = 3, one y = 2zero y = 1 and one y = 0.

I want to have a function of "degeneration" F[x,y] which contains all the information of the data and wants to study the asymptotes of that function. E.g. For fixed y / x Y x -> infinity what is the behavior of (F[x,y]-F[x,0]) / Y?