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📐 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
Fitting exponential models to real-world data; percent change interpretation
2.6
Competing Function Model Validation
Determining which model type best fits a data set; residuals
2.7
Composition of Functions
f(g(x)); composing functions and interpreting composed models
📐 Unit 2B — Logarithmic Functions
2.9
Logarithmic Expressions
Definition of log; converting between exponential and log form
2.10
Inverses of Exponential Functions
Logarithms as inverses; natural log ln and common log log₁₀
2.11
Logarithmic Functions
Domain, range, end behavior, concavity, and identifying from tables
2.12
Logarithmic Function Manipulation
Product, quotient, and power rules; change of base formula
2.13
Exponential and Logarithmic Equations and Inequalities
Solving equations with exponential and log functions algebraically
2.14
Logarithmic Function Context and Data Modeling
Fitting logarithmic models to data; interpreting log scale
2.15
Semi-Log Plots
Linearizing exponential data using logarithmic scales; interpreting semi-log graphs