2
AssignmentMultiple Choice

Polynomial Functions and Finite Differences

Question 2 • 25-26 Summer - Humble ISD CR - Algebraic Reasoning B - 4th Nine Weeks

Which statement explains why the function is cubic?

Answer
A
There is a constant first difference of 2.
B
There is a constant second difference of 0.
C
There is a constant third difference of 0.
D
There is a constant third difference of 24.

Explanation

For a cubic function, the third differences are constant when the input values are equally spaced. A constant third difference of 24 is nonzero, which indicates a cubic function. A constant third difference of 0 would instead indicate a function of lower degree.

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