College Board AP® Precalculus Exam Questions By Topic

Function Basics, Graphs & Zeros of Functions, Increasing & Decreasing Functions, Concavity, Average & Approximate Rates of Change

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, 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

Vertical & Horizontal Translations, Vertical & Horizontal Dilations, Combining Transformations, Domain & Range of Transformed Functions

Selecting Polynomial Models, Piecewise-defined Functions, Articulating Assumptions, Constructing Models, Applying Models

Sequence Basics, Arithmetic Sequences, Arithmetic Sequences & Linear Functions, Geometric Sequences, Geometric Sequences & Exponential Functions, Comparing Linear & Exponential Functions, General Exponential Functions, Manipulating Exponential Functions

Composition of Functions, Constructing Composite Functions, Decomposing Functions, Inverse Functions, Determining an Inverse Function, Graph of an Inverse Function

Logarithmic Expressions, Logarithmic Function Basics, Logarithmic Functions as Inverses of Exponential Functions, Key Characteristics of Logarithmic Functions, Manipulating Logarithmic Functions

Solving Exponential Equations & Inequalities, Solving Logarithmic Equations & Inequalities, Inverses of Exponential & Logarithmic Functions

Selecting & Constructing Exponential Models, Applying Exponential Models, Constructing Models from a Data Set, Validating Models, Logarithmic Models, Semi-log Plots

Periodic Phenomena, Radian Measure & Standard Position, Sine, Cosine & Tangent in Terms of Standard Position, Sine & Cosine Functions, The Tangent Function

Sinusoidal Functions, Translations & Dilations of Sinusoidal Functions, Combined Transformations of Sinusoidal Functions, Constructing Sinusoidal Function Models

Inverse Trigonometric Functions, Reciprocal Trigonometric Functions

Equations & Inequalities with Sinx, Cosx and Tanx, Equations & Inequalities with Inverse & Reciprocal Trigonometric Functions, Equations with Transformed Trigonometric Functions, The Pythagorean Trigonometric Identity, Sum, Difference & Double-Angle Identities, Verifying Additional Trigonometric Identities, Solving Equations with Trigonometric Identities

The Polar Coordinate System, The Complex Plane, Graphs of Polar Functions, Rates of Change in Polar Functions