Curriculum
Pure Mathematics — Second Secondary
Unit 1: Real Functions and Curve Sketching
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Unit 2: Exponents and Logarithms
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Rational Exponents
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Rational Exponents — Lesson quiz
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The Exponential Function and Its Applications
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The Exponential Function and Its Applications — Lesson quiz
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Solving Exponential Equations
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Solving Exponential Equations — Lesson quiz
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The Inverse Function
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The Inverse Function — Lesson quiz
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The Logarithmic Function
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The Logarithmic Function — Lesson quiz
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Properties of Logarithms
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Properties of Logarithms — Lesson quiz
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Unit 3: Limits
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Unit 4: Trigonometry
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Text lesson
The Exponential Function and Its Applications
The Exponential Function and Its Applications
Real-life applications
Real-life applications
- The exponential function appears in many everyday problems. The most important models are:
| Type | Formula | Meaning of the symbols |
|---|---|---|
| Compound growth | A = P(1 + r)t |
|
| Half-life (decay) | N = N0 × (1/2)t/T | N0 the starting quantity, T the half-life |
| Depreciation at a fixed rate | V = V0 × (1 − r)t | V0 the starting value, r the yearly rate of decrease |
Always convert a percentage to a decimal before calculating→5% becomes 0.05.
The Exponential Function and Its Applications · 3 / 6