
Nguồn ngoài
Precalculus An Investigation of Functions
Precalculus: An Investigation of Functions is a free, open textbook covering a two-quarter pre-calculus sequence including trigonometry.
- Tác giả
- David Lippman & Melonie Rasmussen
- Nhà xuất bản
- Pierce College
- Nguồn
- LibreTexts
- Giấy phép
- CC BY-SA
- Ngôn ngữ
- EN
- Danh mục
- Khoa học cơ bản
Mục lục· 109 mục
- 01: Functions
- 1.01: Functions and Function Notation
- 1.1E: Functions and Function Notation
- 1.02: Domain and Range
- 1.2E: Domain and Range
- 1.03: Rates of Change and Behavior of Graphs
- 1.3E: Rates of Change and Behavior of Graphs
- 1.04: Composition of Functions
- 1.4E: Composition of Functions
- 1.05: Transformation of Functions
- 1.5.01: Transformation of Functions
- 1.06: Inverse Functions
- 1.6E: Inverse Functions
- 02: Linear Functions
- 2.01: Linear Functions
- 2.1E: Linear Functions (Exercises)
- 2.02: Graphs of Linear Functions
- 2.2E: Graphs of Linear Functions (Exercises)
- 2.03: Modeling with Linear Functions
- 2.3E: Modeling with Linear Functions (Exercises)
- 2.04: Fitting Linear Models to Data
- 2.4E: Fitting Linear Models to Data (Exercises)
- 2.05: Absolute Value Functions
- 2.5E: Absolute Value Functions (Exercises)
- 03: Polynomial and Rational Functions.
- 3.01: Power Functions
- 3.1E: Power Functions (Exercises)
- 3.02: Quadratic Functions
- 3.2E: Quadratic Functions (Exercises)
- 3.03: Graphs of Polynomial Functions
- 3.3E: Graphs of Polynomial Functions (Exercises)
- 3.04: Factor Theorem and Remainder Theorem
- 3.4E: Factor Theorem and Remainder Theorem (Exercises)
- 3.05: Real Zeros of Polynomials
- 3.5E: Real Zeros of Polynomials (Exercises)
- 3.06: Complex Zeros
- 3.6E: Complex Zeros (Exercises)
- 3.07: Rational Functions
- 3.7E: Rational Functions (Exercises)
- 3.08: Inverses and Radical Functions
- 3.8E: Inverses and Radical Functions (Exercises)
- 04: Exponential and Logarithmic Functions
- 4.01: Exponential Functions
- 4.1E: Exponential Functions (Exercises)
- 4.02: Graphs of Exponential Functions
- 4.2E: Graphs of Exponential Functions (Exercises)
- 4.03: Logarithmic Functions
- 4.3E: Logarithmic Functions (Exercises)
- 4.04: Logarithmic Properties
- 4.4E: Logarithmic Properties (Exercises)
- 4.05: Graphs of Logarithmic Functions
- 4.5E: Graphs of Logarithmic Functions (Exercises)
- 4.06: Exponential and Logarithmic Models
- 4.6E: Exponential and Logarithmic Models (Exercises)
- 4.07: Fitting Exponential Models to Data
- 4.7E: Fitting Exponential Models to Data (Exercises)
- 05: Trigonometric Functions of Angles
- 5.01: Circles
- 5.1E: Circles (Exercises)
- 5.02: Angles
- 5.2E: Angles (Exercises)
- 5.03: Points on Circles Using Sine and Cosine
- 5.3E: Points on Circles Using Sine and Cosine (Exercises)
- 5.04: The Other Trigonometric Functions
- 5.4E: The Other Trigonometric Functions (Exercises)
- 5.05: Right Triangle Trigonometry
- 5.5E: Right Triangle Trigonometry (Exercises)
- 06: Periodic Functions
- 6.01: Sinusoidal Graphs
- 6.1E: Sinusoidal Graphs (Exercises)
- 6.02: Graphs of the Other Trig Functions
- 6.2E: Graphs of the Other Trigonometric Functions (Exercises)
- 6.03: Inverse Trigonometric Functions
- 6.3E: Inverse Trigonometric Functions (Exercises)
- 6.04: Solving Trigonometric Equations
- 6.4E: Solving Trigonometric Equations (Exercises)
- 6.05: Modeling with Trigonometric Functions
- 6.5E: Modeling with Trigonometric Functions (Exercises)
- 07: Trigonometric Equations and Identities
- 7.01: Solving Trigonometric Equations with Identities
- 7.1E: Solving Trigonometric Equations with Identities (Exercises)
- 7.02: Addition and Subtraction Identities
- 7.2E: Addition and Subtraction Identities (Exercises)
- 7.03: Double Angle Identities
- 7.3E: Double Angle Identities (Exercises)
- 7.04: Modeling Changing Amplitude and Midline
- 7.4E: Modeling Changing Amplitude and Midline (Exercises)
- 08: Further Applications of Trigonometry
- 8.01: Non-Right Triangles - Laws of Sines and Cosines
- 8.1.01: Non-Right Triangles - Laws of Sines and Cosines (Exercises)
- 8.02: Polar Coordinates
- 8.2.01: Polar Coordinates (Exercises)
- 8.03: Polar Form of Complex Numbers
- 8.3.01: Polar Form of Complex Numbers (Exercise)
- 8.04: Vectors
- 8.4.01: Vectors (Exercise)
- 8.05: Dot Product
- 8.5.01: Dot Product (Exercise)
- 8.06: Parametric Equations
- 8.6.01: Parametric Equations (Exercise)
- 09: Conics
- 9.01: Ellipses
- 9.1E: Ellipses (Exercises)
- 9.02: Hyperbolas
- 9.2E: Hyperbolas (Exercises)
- 9.03: Parabolas and Non-Linear Systems
- 9.3E: Parabolas and Non-Linear Systems (Exercises)
- 9.04: Conics in Polar Coordinates
- 9.4E: Conics in Polar Coordinates (Exercises)