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) = 2x2.