Topics:
Unit 5 • 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 • 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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