Chapter 4: Exponential and Logarithmic Functions
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Course: MATH 141 (Precalculus I)
Overview
Exponential and logarithmic functions are essential for calculus. They appear in growth/decay models, and their derivatives have elegant forms. The natural exponential $e^x$ is particularly important.
Source Material: OpenStax Precalculus Chapter 4 (CC BY 4.0)
Sections
| Section | Topic | Skills |
|---|---|---|
| 4.1 | Exponential Functions | Base, growth factor, $e$ |
| 4.2 | Graphs of Exponential Functions | Transformations, asymptotes |
| 4.3 | Logarithmic Functions | Definition, converting forms |
| 4.4 | Graphs of Logarithmic Functions | Domain, range, transformations |
| 4.5 | Logarithmic Properties | Product, quotient, power rules |
| 4.6 | Exponential and Logarithmic Equations | Solving equations |
| 4.7 | Exponential and Logarithmic Models | Growth, decay, half-life |
| 4.8 | Fitting Exponential Models to Data | Exponential regression |
Skills in This Chapter
What This Unlocks
Mastering exponential and logarithmic functions prepares you for:
- MATH 142: Trigonometric functions (next course)
- Stewart 1.4: Exponential functions in calculus
- Stewart 1.5: Inverse functions and logarithms
- Stewart 3.1: Derivatives of exponential functions
- Stewart 6.4: Exponential growth and decay models
| Previous | Up | Next |
|---|---|---|
| Chapter 3 | Precalculus | Chapter 5 |