The data in the table best fits a quadratic function, as the increase in the values of \( y \) appears to suggest a consistent rate of change in the differences between successive \( y \) values. Specifically, when calculating the first differences of the \( y \) values, they increase in a nonlinear manner, indicating a second-degree polynomial relationship.
In 1–2 sentences, explain which type of function best models the data in the table? How do you know?
Type of Function
x y
1
26
4
86
7
146
(2 points)
1 answer