Progress
0 / 15 available
๐ Unit 2A โ Exponential Functions
2.1
Change in Arithmetic and Geometric Sequences
Constant differences vs. constant ratios; arithmetic and geometric growth
2.2
Change in Linear and Exponential Functions
Comparing additive change (linear) vs. multiplicative change (exponential)
2.3
Exponential Functions
f(x) = abหฃ; growth vs. decay; domain, range, and key features
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
2.8
Inverse Functions
Finding inverses algebraically and graphically; one-to-one functions
๐ Unit 2B โ 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 logโโ
2.11
Logarithmic Functions
Graphs, domain, range, and key features of logarithmic functions
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