Unit 2
Exponential and Logarithmic Functions
Sequences, exponential and logarithmic functions, composition and inverses, and how to choose and check a model for data.
Topics
- 2.1Change in Arithmetic and Geometric Sequences
- 2.2Change in Linear and Exponential Functions
- 2.3Exponential Functions
- 2.4Exponential Function Manipulation
- 2.5Exponential Function Context and Data Modeling
- 2.6Competing Function Model Validation
- 2.7Composition of Functions
- 2.8Inverse Functions
- 2.9Logarithmic Expressions
- 2.10Inverses of Exponential Functions
- 2.11Logarithmic Functions
- 2.12Logarithmic Function Manipulation
- 2.13Exponential and Logarithmic Equations and Inequalities
- 2.14Logarithmic Function Context and Data Modeling
- 2.15Semi-log Plots
Unit check
15 questions drawn from every lesson in Unit 2. Each wrong answer links back to where the idea is taught.
Labs for this unit
- Topics 1.12, 2.3, 2.4, 2.7, 2.11, 2.12, 3.5 and 3.6 Function Grapher Move a, b, c and d in g(x) = a f(b(x + c)) + d and watch a polynomial, rational, exponential, logarithmic or sine graph transform.
- Topics 1.14, 2.5, 2.6 and 2.14 Model Builder Fit a linear, quadratic, cubic, quartic, exponential or logarithmic regression to a small data set, then read the residual plot to decide whether the model is appropriate.