Exponential and Logarithmic Functions · Algebraic Thinking

Exponential Growth and Decay

Modeling populations, radioactive decay, and compound interest using base e and other constants.

Key Questions

  1. 1Why is the number e considered the 'natural' base for describing growth in the physical world?
  2. 2How does the rate of change of an exponential function relate to its current value?
  3. 3What are the limits of exponential growth models when applied to finite resources?

ACARA Content Descriptions

AC9M10A05
Year: Year 11
Subject: Mathematics
Unit: Exponential and Logarithmic Functions
Period: Algebraic Thinking

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