Overview
Exponential growth is a powerful concept in mathematics and the natural sciences, describing how quantities can increase rapidly over time. It is characterized by a constant percentage increase, leading to dramatic changes that can be observed in various fields such as biology, finance, and social s...
Key Terms
Example: f(x) = 2 * 3^x shows exponential growth.
Example: If a population grows from 100 to 200 in 5 years, its doubling time is 5 years.
Example: A growth rate of 10% means the quantity increases by 10% each period.
Example: The x-axis is a horizontal asymptote for many exponential decay functions.
Example: Investing $100 at 5% compounded annually grows to $105 after one year.
Example: Exponential growth models are used to predict population increases in biology.