📐 Unit 2A — Exponential Functions
🔢2.1
Change in Arithmetic and Geometric Sequences
Common difference, common ratio, and finding any term
🔢2.2
Change in Linear and Exponential Functions
Identifying function types from tables · building equations from two points
🔢2.3
Exponential Functions
General form, growth vs decay, end behavior, and identifying from tables
🔢2.4
Exponential Function Manipulation
Rewriting exponential expressions; equivalent forms and properties
🔢2.5
Exponential Function Context and Data Modeling
Vertical translations, modeling from data, natural base e, percent change
🔢2.6
Competing Function Model Validation
Linear vs quadratic vs exponential models; residuals and residual plots
🔢2.7
Composition of Functions
f(g(x)); evaluating and expressing composite functions
📊 Unit 2B — Logarithmic Functions
🔢2.9
Logarithmic Expressions
Log notation; converting exponential ↔ log form; evaluating logs; log scales
🔢2.10
Inverses of Exponential Functions
Logarithmic functions from tables, graphing, verifying inverse pairs, AROC
🔢2.11
Logarithmic Functions
Domain, range, end behavior, concavity, and identifying from tables
🔢2.12
Logarithmic Function Manipulation
Product, quotient, power rules; change of base; condensing and expanding logs
🔢2.13
Exponential and Logarithmic Equations and Inequalities
Solving equations, inequalities, inverses, extraneous solutions, FRQ-style
🔢2.14
Logarithmic Function Context and Data Modeling
Building log models from two points, regression, decibels, real-world applications