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Unit 5: Polynomial Functions & Roots
Introduction to Cubic Functions
Applying Transformations to Cubic Functions
Graphing Cubic Functions
Writing a Cubic Function
Graphing Polynomial Functions
The Roots of a Polynomial Function
The Shape of a Polynomial Function at its Roots
The Multiplicity of a Root
Using a Calculator to Find the Roots of Polynomial Function
Solving Cubic Inequalities
Finding Real Roots of Polynomials
Making Connections Between Roots & Factors
Synthetic Division
Imaginary Roots of Polynomials
Rational Root Theorem
Polynomials with Imaginary Roots
The Remainder Theorem

 

Unit 6: Inverse, Square Root & Cube Root Functions

Notation for Inverse Functions
Graphing Inverse Functions
Inverses That are not Functions
Using Composition to Prove Two Functions are Inverses
The Square Root Function
Applying Transformations to Square Root Functions
Graphing Square Root Functions
Finding the Equation of a Square Root Function
The Domain & Range of a Square Root Function
The Cube Root Function
Applying Transformations to Cube Root Functions
Graphing Cube Root Functions
Finding the Equation of a Cube Root Function
Domains of Square Root Functions
Domains of Rational Functions
Combining Square Root & Rational Functions

Advanced Algebra & Trigonometry Book 3

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