### Home > APCALC > Chapter 1 > Lesson 1.3.3 > Problem 1-128

While studying the finite differences of a particular function, Neo noticed that the differences changed linearly. What can you tell him about the original function? Also, how do his finite differences change?

A linear changing difference is a difference that increases or decreases in greater amounts each time. For example, if , then the differences are

The original function is quadratic.

Take a quadratic function and list out some successive differences. For example, let's take the differences from the earlier hint:

The differences of the differences are constant.