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

1 answer

The data in the table appears to be best modeled by a quadratic function because the differences in the y-values (60 and 60) suggest a constant second difference, indicating a non-linear relationship. This is a characteristic of quadratic functions, as they produce a parabolic shape when graphed.