Question

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)

Answer 1

The data in the table is best modeled by a quadratic function because the differences between the y-values increase consistently as the x-values increase, indicating a parabolic relationship. Specifically, the second differences of the y-values are constant, which is characteristic of quadratic functions.