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# 1st Semester Honors Precalculus Topics

- Section 4: Solving Equations Algebraically and Graphically
- Section 5: Solving Inequalities Algebraically and Graphically

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**Chapter 1: Functions and Their Graphs**

- Section 1: Functions
- Section 2: Graphs of Functions
- Section 3: Shifting, Reflecting, and Stretching Graphs
- Section 4: Combinations of Functions
- Section 5: Inverse Functions

**Chapter 2: Polynomial and Rational Functions**

- Section 1: Quadratic Functions
- Section 2: Polynomial Functions of Higher Degree
- Section 3: Real Zeros of Polynomial Functions
- Section 4: Complex Numbers
- Section 5: The Fundamental Theorem of Algebra
- Section 6: Rational Functions and Asymptotes
- Section 7: Graphs of Rational Function

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**Chapter 3: Exponential and Logarithmic Functions**

- Section 1: Exponential Functions and Their Graphs
- Section 2: Logarithmic Functions and Their Graphs
- Section 3: Properties of Logarithms
- Section 4: Solving Exponential and Logarithmic Equations

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**Chapter 4: Trigonometric Functions**

- Section 1: Radian and Degree Measure
- Section 2: Trig Functions: The Unit Circle
- Section 3: Right Triangle Trig
- Section 4: Trig Functions of any Angle
- Section 5: Graphs of Sine and Cosine
- Section 6: Graphs of Other Trig Functions
- Section 7: Inverse Trig Functions
- Section 8: Applications and Models

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**Chapter 5: Analytic Trigonometry**

- Section 1: Using Fundamental Identities
- Section 2: Verifying Trig Identities
- Section 3: Solving Trig Equations
- Section 4: Sum and Difference Formulas
- Section 5: Multiple-Angle Formulas

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