The function depicted in the table is a quadratic function because the differences between consecutive outputs are not constant.
A quadratic function is a function of the form f(x) = ax^2 + bx + c, where a, b, and c are constants.
The search results provided explain that a function table is a visual representation of a function that shows the input and output values of the function.
To determine whether a table represents a function, we need to check if each input value is paired with only one output value.
In this case, the table represents a function because each input value is paired with only one output value.
Since the differences between consecutive outputs are not constant, we can conclude that the function is a quadratic function.