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Let f be a function whose finite differences grow by 4. What kind of function can f 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.