Chapter 9 - Quadratic Functions and Equations - 9-7 Linear, Quadratic, and Exponential Models - Practice and Problem-Solving Exercises - Page 580: 27

a) Please see the image. b) 6 c) Yes

a) The image shows the second and third differences for the diagram. b) The third differences are currently $6$, $6$, and $6$, so the third difference should be $6$ as well. c) The third differences are affected by four different values of the function, so the differences should be the same.