Course Content
Unit 1 Polynomial and Rational Functions
• Describing how quantities change with respect to each other
• Describing end behavior of polynomial and rational functions
• Identifying asymptotes of and holes in the graphs of rational functions
• Modeling aspects of scenarios using polynomial and rational functions
• Identifying assumptions and limitations of function models
Unit 2 Exponential and Logarithmic Functions
• Relating geometric sequences and exponential functions
• Modeling data sets with exponential functions
• Composing functions and finding inverses
• Modeling scenarios with logarithmic functions
• Validating a function model using a residual plot
Unit 3 Trigonometric and Polar Functions
• Relating right triangle trigonometry to the sine, cosine, and tangent functions
• Modeling data and scenarios with sinusoidal functions
• Using inverse trigonometric functions to solve trigonometric equations
• Graphing functions using polar coordinates
• Describing how angles and radii change with respect to each other in a polar graph
Unit 4 Functions Involving Parameters, Vectors, and Matrices
• Describing how quantities change with respect to each other in a parametric function
• Graphing conic sections using implicitly defined functions and parametric functions
• Using vectors to describe motion of an object
• Describing the impact of a transformation matrix on a graphical object
• Modeling change in a context using matrices