CPM Homework Help : CALC Problem 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.

Hint:

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?

Answer:

f(x) is quadratic, for example, f(x) = 2x².