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3 cards from this section. Quick, good the night before a test.
What is a finite difference?
Recall the definition.
State the polynomial property of finite differences.
Think about the behavior of polynomials.
What is the result of the (n+1)th finite difference of a polynomial of degree n?
Think about the definition and properties of polynomials.
True or False: The linearity property states that Δ(af(x) + bg(x)) = aΔf(x) + bΔg(x).
Recall the properties discussed.
Calculate the finite difference of the function f(x) = x^4 at x = 1 using a step size of h = 1.
Make sure to substitute in the values of the function.
Using the property of finite differences, explain what happens when you increase the degree of a polynomial beyond n.
Consider how polynomial nature influences finite differences.
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