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how to determine if an equation is exponential growth or decay. Where y t value at time t. To summarize if we have a problem that can be stated in the following form then the solution is If the proportionality constant is positive this function will increase over time and we call the behavior exponential growth.
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Both exponential growth and decay involve a rapid change in numbers. Xt x 0 e kt. The two types of exponential functions are exponential growth and exponential decay.
The table of values for the exponential decay equation y big frac 1 9 big x demonstrates the same property as the graph.
Its simple and direct. When given a percentage of growth or decay determined the growthdecay factor by adding or subtracting the percent as a decimal from 1. Decay exponentially at least for a while. The rate of decay is great at first Lets look at some values between x-8 and x 0.
