Exponential Functions - Complete Interactive Lesson
Part 1: Exponential Growth
๐ Exponential Growth
Part 1 of 7 โ Exponential Growth
- = initial value
- = growth factor
- Growth rate :
Exponential growth: each step multiplies by .
Worked Example
Population: 500, grows 10% per year. After 3 years?
โ
Concept Check ๐ฏ
Exponential Growth ๐งฎ
Concept Check ๐
Practice
| # | Initial | Rate | Years | Formula |
|---|---|---|---|---|
| 1 | 100 | 20% | 2 | 100(1.2)ยฒ |
| 2 | 200 | 5% | 3 | 200(1.05)ยณ |
| 3 | 1000 | 50% | 1 | 1000(1.5)ยน |
Challenge Question ๐
Part 2: Exponential Decay
๐ Exponential Decay
Part 2 of 7 โ Exponential Decay
Part 3: Compound Interest
๐ข Compound Interest
Part 3 of 7 โ Compound Interest
Part 4: Logarithms Introduction
๐ Logarithms Introduction
Part 4 of 7 โ Logarithms Introduction
A logarithm is the inverse of an exponential.
Part 5: Log Properties
๐งฎ Log Properties
Part 5 of 7 โ Log Properties
Key Properties
- Product:
Part 6: Problem-Solving Workshop
๐ ๏ธ Problem-Solving Workshop
Part 6 of 7 โ Problem-Solving Workshop
Apply exponential and logarithmic skills:
- Doubling time problems
- Real-world decay (depreciation, radioactive)
- Solving exponential equations with logs
Worked Example
$1000 at 8% annual. When does it double? (Rule of 72)
years (approximately) โ
Concept Check ๐ฏ
Applications ๐งฎ
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Rule of 72: doubling at 6%. Years?
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Part 7: Review & Applications
๐ Review & Applications
Part 7 of 7 โ Review & Applications
Key Formulas
- Growth: , Decay: