### Home > APCALC > Chapter 1 > Lesson 1.4.1 > Problem1-144

1-144.

Let $f$ be a function whose finite differences grow by $4$. What kind of function can $f$ be? Give two examples.

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, $f(x) = 2x^2$.