AP Precalculus
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Practice for the AP Precalculus exam
AP Exam
Tuesday, May 11, 2027
8 a.m. local time (morning session)
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Unit 1: Polynomial and Rational Functions
- 1.1 - Change in Tandem
- 1.2 - Rates of Change
- 1.3 - Rates of Change in Linear and Quadratic Functions
- 1.4 - Polynomial Functions and Rates of Change
- 1.5 - Polynomial Functions and Complex Zeros
- 1.6 - Polynomial Functions and End Behavior
- 1.7 - Rational Functions and End Behavior
- 1.8 - Rational Functions and Zeros
- 1.9 - Rational Functions and Vertical Asymptotes
- 1.10 - Rational Functions and Holes
- 1.11 - Equivalent Representations of Polynomial and Rational Expressions
- 1.12 - Transformations of Functions
- 1.13 - Function Model Selection and Assumption Articulation
- 1.14 - Function Model Construction and Application
Unit 2: Exponential and Logarithmic Functions
- 2.1 - Change in Arithmetic and Geometric Sequences
- 2.2 - Change in Linear and Exponential Functions
- 2.3 - Exponential Functions
- 2.4 - Exponential Function Manipulation
- 2.5 - Exponential Function Context and Data Modeling
- 2.6 - Competing Function Model Validation
- 2.7 - Composition of Functions
- 2.8 - Inverse Functions
- 2.9 - Logarithmic Expressions
- 2.10 - Inverses of Exponential Functions
- 2.11 - Logarithmic Functions
- 2.12 - Logarithmic Function Manipulation
- 2.13 - Exponential and Logarithmic Equations and Inequalities
- 2.14 - Logarithmic Function Context and Data Modeling
- 2.15 - Semi-log Plots
Unit 3: Trigonometric and Polar Functions
- 3.1 - Periodic Phenomena
- 3.2 - Sine, Cosine, and Tangent
- 3.3 - Sine and Cosine Function Values
- 3.4 - Sine and Cosine Function Graphs
- 3.5 - Sinusoidal Functions
- 3.6 - Sinusoidal Function Transformations
- 3.7 - Sinusoidal Function Context and Data Modeling
- 3.8 - The Tangent Function
- 3.9 - Inverse Trigonometric Functions
- 3.10 - Trigonometric Equations and Inequalities
- 3.11 - The Secant, Cosecant, and Cotangent Functions
- 3.12 - Equivalent Representations of Trigonometric Functions
- 3.13 - Trigonometry and Polar Coordinates
- 3.14 - Polar Function Graphs
- 3.15 - Rates of Change in Polar Functions
Unit 4: Functions Involving Parameters, Vectors, and Matrices (Additional Concepts)
- 4.1 - Parametric Functions
- 4.2 - Parametric Functions Modeling Planar Motion
- 4.3 - Parametric Functions and Rates of Change
- 4.4 - Parametrically Defined Circles and Lines
- 4.5 - Implicitly Defined Functions
- 4.6 - Conic Sections
- 4.7 - Parametrization of Implicitly Defined Functions
- 4.8 - Vectors
- 4.9 - Vector-Valued Functions
- 4.10 - Matrices
- 4.11 - The Inverse and Determinant of a Matrix
- 4.12 - Linear Transformations and Matrices
- 4.13 - Matrices as Functions
- 4.14 - Matrices Modeling Contexts