Algebra › Section J · Exponential and logarithmic functions › Topic J.2
Exponential functions and their graphs
Move the variable into the exponent and everything changes: instead of adding a fixed amount each step, the function multiplies by a fixed factor. That single swap produces growth so relentless it eventually outruns every straight line on earth.
In this topic
- The form and its restrictions
- Graph features
- Percentage growth and decay
- Doubling time and half-life
- Worked example: a doubling population
- Worked example: compound interest
- Continuous compounding and e
- Exponential versus linear
- Common mistakes to avoid
- Key takeaways
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