Exponential and Logarithmic Functions · Functions and Relations

Modeling Growth and Decay

Applying exponential functions to carbon dating, population dynamics, and Newton's Law of Cooling.

Key Questions

  1. 1How can we determine the half life of a substance using only two data points?
  2. 2What are the limitations of an exponential growth model in a world with finite resources?
  3. 3How does changing the base of an exponential function affect the steepness of the curve?

ACARA Content Descriptions

AC9MFM08
Year: Year 12
Subject: Mathematics
Unit: Exponential and Logarithmic Functions
Period: Functions and Relations

Suggested Methodologies

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The Natural Base e

Understanding the unique properties of the number e and its role in continuous growth models.

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Logarithmic Laws and Scales

Using logarithms to solve exponential equations and interpreting data on logarithmic scales like pH or Richter levels.

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