1 year course
Exam Topics
1 Polynomial and Rational Functions (30-40%)
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
2 Exponential and Logarithmic Functions (30-35%)
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
3 Trigonometric and Polar Functions (30-35%)
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
Tangent Function
Inverse Trigonometric Functions
Trigonometric Equations and Inequalities
Secant, Cosecant, and Cotangent Functions
Equivalent Representations of Trigonometric Functions
Trigonometry and Polar Coordinates
Polar Function Graphs
Rates of Change in Polar Functions
Exam Format
Section I A: Multiple choice, 28 questions, 80 minutes (no calculator), 43.75% weight
Section I B: Multiple choice, 12 questions, 40 minutes (graphing calculator), 18.75% weight
Section II A: Free response, 2 questions, 30 minutes (graphing calculator), 18.75% weight
Section II B: Free response, 2 questions, 30 minutes (no calculator), 18.75% weight
Net time: 3 hours