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Cubic Function

Definition

A cubic function is a polynomial function of degree 3. It has the general form f(x) = ax^3 + bx^2 + cx + d, where a, b, c, and d are constants.

Analogy

Imagine building a box with blocks. The number of blocks used to build the box can be represented by a cubic function because it involves three dimensions (length, width, and height). The equation can tell you how many blocks are needed for any given size of the box.

Related terms

Turning Points: The points on the graph of a cubic function where the graph changes direction.

End Behavior: How the graph approaches infinity or negative infinity as x-values get larger or smaller.

Zeroes/Roots: The values of x that make the cubic function equal to zero.



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© 2024 Fiveable Inc. All rights reserved.

AP® and SAT® are trademarks registered by the College Board, which is not affiliated with, and does not endorse this website.