he data in the table appears to be modeled by the function f(x) = -x^2 + 2.
To see this, let's plug in the values for x in the table and see if the resulting values for f(x) match the values in the table:
f(-2) = (-2)^2 + 2 = 4 - 2 = 2
f(-1) = (-1)^2 + 2 = 1 - 1 = 0
f(0) = 0^2 + 2 = 2
f(1) = 1^2 + 2 = 1 + 2 = 3
We can see that the resulting values for f(x) match the values in the table, so f(x) = -x^2 + 2 is a function that could represent the data.