### Home > CALC > Chapter 1 > Lesson 1.4.1 > Problem 1-144

1-144.

Let *f*(*x*) be a function whose finite differences grow by 4 each time. What kind of function can *f*(*x*) be? Give two examples. Homework Help ✎

Finite differences can be used to analyze the slope of a graph at various *x*-values. In Lesson 1.3.1, you found consistent patterns in the way polynomial functions change. Which polynomial function would have finite differences that grow by 4 each time?

*f*(*x*) is quadratic, for example, *f*(*x*) = 2*x*^{2}.