AP · Precalculus
AP Precalculus
Four College Board units · explanations, examples, and AI-generated practice.
Topics marked soon are coming in the next release.
1Polynomial and Rational Functions
- Change in Tandem
- Rates of Change
- Rates of Change in Linear and Quadratic Functions
- Polynomial Functions and Rates of Change
- Polynomial Functions and Complex Zeros
- Polynomial Functions and End Behavior
- Rational Functions and End Behavior
- Rational Functions and Zeros
- Rational Functions and Vertical Asymptotes
- Rational Functions and Holes
- Equivalent Representations of Polynomial and Rational Expressions
- Transformations of Functions
- Function Model Selection and Assumption Articulation
- Function Model Construction and Application
2Exponential and Logarithmic Functions
- Change in Arithmetic and Geometric Sequences
- Change in Linear and Exponential Functions
- Exponential Functions
- Exponential Function Manipulation
- Exponential Function Context and Data Modeling
- Competing Function Model Validation
- Composition of Functions
- Inverse Functions
- Logarithmic Expressions
- Inverses of Exponential Functions
- Logarithmic Functions
- Logarithmic Function Manipulation
- Exponential and Logarithmic Equations and Inequalities
- Logarithmic Function Context and Data Modeling
- Semi-log Plots
3Trigonometric and Polar Functions
- Periodic Phenomena
- Sine, Cosine, and Tangent
- Sine and Cosine Function Values
- Sine and Cosine Function Graphs
- Sinusoidal Functions
- Sinusoidal Function Transformations
- Sinusoidal Function Context and Data Modeling
- The Tangent Function
- Inverse Trigonometric Functions
- Trigonometric Equations and Inequalities
- The Secant, Cosecant, and Cotangent Functions
- Equivalent Representations of Trigonometric Functions
- Trigonometry and Polar Coordinates
- Polar Function Graphs
- Rates of Change in Polar Functions
4Functions Involving Parameters, Vectors, and Matrices
- Parametric Functions
- Parametric Functions Modeling Planar Motion
- Parametric Functions and Rates of Change
- Parametrically Defined Circles and Lines
- Implicitly Defined Functions
- Conic Sections
- Parametrization of Implicitly Defined Functions
- Vectors
- Vector-Valued Functions
- Matrices
- The Inverse and Determinant of a Matrix
- Linear Transformations and Matrices
- Matrices as Functions
- Matrices Modeling Contexts