16. Cubic Functions

Sections

Navigate through the learning materials and practice exercises.

1. 1

   Definition Of A Cubic Function

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   Cubic functions are polynomial functions of degree 3, which play a crucial...

2. 2

   Key Features Of Cubic Functions

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   This section outlines the key features of cubic functions, including their...

3. 2.1

   Degree

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   Cubic functions are polynomial functions of degree 3, essential in algebra...

4. 2.2

   Shape Of The Graph

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   Cubic functions have distinct S-shaped graphs that can have different...

5. 2.3

   End Behavior

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   End behavior describes the trends of a cubic function as the input value...

6. 3

   Standard, Factored, And Vertex Forms

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   This section introduces the standard, factored, and vertex forms of cubic...

7. 3.1

   Standard Form

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   Cubic functions are defined as polynomial functions of degree 3, crucial for...

8. 3.2

   Factored Form

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   The factored form of a cubic function provides a convenient way to identify...

9. 4

   Finding Roots Of Cubic Equations

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   This section covers methods for finding roots of cubic equations, including...

10. 4.1

    Rational Root Theorem

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    The Rational Root Theorem provides a method to identify possible rational...

11. 4.2

    Synthetic Division / Long Division

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    Synthetic and long division are methods used to divide polynomials,...

12. 4.3

    Solving The Quadratic

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    This section covers the methods of solving quadratic equations, including...

13. 5

    Graphing A Cubic Function

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    This section covers the key steps for graphing cubic functions, including...

14. 6

    Transformations Of Cubic Functions

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    This section covers transformations applied to cubic functions, including...

15. 7

    Applications Of Cubic Functions

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    Cubic functions model various real-world situations, providing insight into...

16. 8

    Solving Word Problems

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    This section focuses on the steps and methods for translating and solving...

17. 9

    Practice Exercises

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    This section provides practice exercises for students to reinforce their...

18. 10

    Summary

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    This section summarizes the key aspects of cubic functions, including their...