2. Exponential Growth and Decay
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A phenomena exhibiting exponential growth increases over time, and exponential decay decreases over time.
See solution.
We can compare exponential growth and exponential decay functions by using a table.
| Exponential Growth | Exponential Decay |
|---|---|
| Special cases of an exponential function. | |
| Occurs when a quantity increases by the same factor over equal intervals of time. | Occurs when a quantity decreases by the same factor over equal intervals of time. |
| It is modeled by the function y = a(1 +r)^x | It is modeled by the function y = a(1 -r)^x |
| In this equation r represents the rate of growth, given in decimal form. | In this equation r represents the rate of decay, given in decimal form. |