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Big Ideas Math Integrated I, 2016 View details

2. Exponential Growth and Decay

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Exercise 2 Page 286

Which parameter gives information about how fast the exponential function is decaying?

r

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Exponential functions that decrease by a constant factor or percentage over equal intervals of x are called exponential decay functions. They can be written in the format shown below. y = a(1-r)^x Here, a represents the initial quantity and r tells us how fast the function is decaying as a percentage, written in decimal form. This is why r is known as the rate of decay.