Polynomial & Rational Functions

Functions & Rates of Change

Function Basics

Graphs & Zeros of Functions

Increasing & Decreasing Functions

Concavity

Average & Approximate Rates of Change

Linear, Quadratic & Polynomial Functions

Linear Functions

Quadratic Functions

Polynomial Functions

Minima, Maxima & Points of Inflection

Zeros and Successive Differences of Polynomial Functions

Even & Odd Functions

End Behavior of Polynomial Functions

The Binomial Theorem

Equivalent Representations of Polynomial Expressions

Rational Functions

Rational Functions

End Behavior of Rational Functions

Zeros of Rational Functions

Vertical Asymptotes of Rational Functions

Holes of Rational Functions

Polynomial Long Division

Equivalent Representations of Rational Expressions

Transformations of Functions

Vertical & Horizontal Translations

Vertical & Horizontal Dilations

Combining Transformations

Domain & Range of Transformed Functions

Modeling with Polynomial & Rational Functions

Selecting Polynomial Models

Piecewise-defined Functions

Articulating Assumptions

Constructing Models

Applying Models

Exponential & Logarithmic Functions

Sequences & Exponential Functions

Sequence Basics

Arithmetic Sequences

Arithmetic Sequences & Linear Functions

Geometric Sequences

Geometric Sequences & Exponential Functions

Comparing Linear & Exponential Functions

General Exponential Functions

Manipulating Exponential Functions

Exam boards

• College Board AP® Calculus AB
• College Board AP® Calculus BC

Study tools

• College Board AP® Precalculus · Past Papers

Related links

• AP® Maths · Revision Notes
• AP® Maths · Exam Questions
• AP® Maths · Past Papers
• AP® Maths · Glossary