All courses / Math
AP Precalculus
Notes, practice questions and a test for every unit. Open a unit to see its topics.
Unit 1Polynomial and Rational Functions14 topics · 50 questions
- 1.1Change in Tandem
- 1.2Rates of Change
- 1.3Rates of Change in Linear and Quadratic Functions
- 1.4Polynomial Functions and Rates of Change
- 1.5Polynomial Functions and Complex Zeros
- 1.6Polynomial Functions and End Behavior
- 1.7Rational Functions and End Behavior
- 1.8Rational Functions and Zeros
- 1.9Rational Functions and Vertical Asymptotes
- 1.10Rational Functions and Holes
- 1.11Equivalent Representations of Polynomial and Rational Expressions
- 1.12Transformations of Functions
- 1.13Function Model Selection and Assumption Articulation
- 1.14Function Model Construction and Application
Unit 2Exponential and Logarithmic Functions15 topics · 53 questions
- 2.1Change in Arithmetic and Geometric Sequences
- 2.2Change in Linear and Exponential Functions
- 2.3Exponential Functions
- 2.4Exponential Function Manipulation
- 2.5Exponential Function Context and Data Modeling
- 2.6Competing Function Model Validation
- 2.7Composition of Functions
- 2.8Inverse Functions
- 2.9Logarithmic Expressions
- 2.10Inverses of Exponential Functions
- 2.11Logarithmic Functions
- 2.12Logarithmic Function Manipulation
- 2.13Exponential and Logarithmic Equations and Inequalities
- 2.14Logarithmic Function Context and Data Modeling
- 2.15Semi-log Plots
Unit 3Trigonometric and Polar Functions15 topics · 53 questions
- 3.1Periodic Phenomena
- 3.2Sine, Cosine, and Tangent
- 3.3Sine and Cosine Function Values
- 3.4Sine and Cosine Function Graphs
- 3.5Sinusoidal Functions
- 3.6Sinusoidal Function Transformations
- 3.7Sinusoidal Function Context and Data Modeling
- 3.8The Tangent Function
- 3.9Inverse Trigonometric Functions
- 3.10Trigonometric Equations and Inequalities
- 3.11The Secant, Cosecant, and Cotangent Functions
- 3.12Equivalent Representations of Trigonometric Functions
- 3.13Trigonometry and Polar Coordinates
- 3.14Polar Function Graphs
- 3.15Rates of Change in Polar Functions
Unit 4Functions Involving Parameters, Vectors, and Matrices14 topics · 50 questions
- 4.1Parametric Functions
- 4.2Parametric Functions Modeling Planar Motion
- 4.3Parametric Functions and Rates of Change
- 4.4Parametrically Defined Circles and Lines
- 4.5Implicitly Defined Functions
- 4.6Conic Sections
- 4.7Parametrization of Implicitly Defined Functions
- 4.8Vectors
- 4.9Vector-Valued Functions
- 4.10Matrices
- 4.11The Inverse and Determinant of a Matrix
- 4.12Linear Transformations and Matrices
- 4.13Matrices as Functions
- 4.14Matrices Modeling Contexts