1st Semester Honors Precalculus Topics

Chapter P: Prerequisites

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

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

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

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

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