Big Ideas Math Integrated I, 2016
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Big Ideas Math Integrated I, 2016 View details
2. Exponential Growth and Decay
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Exercise 3 Page 286

A phenomena exhibiting exponential growth increases over time, and exponential decay decreases over time.

See solution.

Practice makes perfect

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.