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How are exponential growth patterns similar to and different from linear growth patterns?
They are similar because the population increases over time in both cases, and also because you are using a mathematical model for a real-world process.
They are different because exponential growth can get dramatically big and bigger after a fairly short time. Linear growth keeps going up the same amount each time.
Exponential growth goes up by more each time, depending on what the amount (population) is at that time. Linear growth can start off bigger than exponential growth, but exponential growth will always win out.
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What is the difference exponential growth and decay?
They are incredibly different acceleration patterns. Exponential growth is unbounded, whereas exponential decay is bounded so as to form a "dynamic equilibrium." This is why exponential decay is so typical of natural processes. To see work I have done in explaining exponential decay, go to the page included in the related links.
Differentiate a logistic growth pattern from an exponential growth pattern?
Exponential functions increase for all values of x, Logistic growth patterns appear to increase exponentially however they eventually platou out on a maximum y value
What is a growth factor in exponential growth?
implementation of exponential groth
How are the graphs of exponential growth and exponential decay functions different?
Exponential growth goes infinitely up. Exponential decay goes infinitely over always getting closer to the x axis but never reaching it. ADDED: An exponential decay trace's flat-looking region has its own special name: an "asymptote".
What are exponential growth and logistic growth?
Exponential Growth: occurs when the individuals in a population reproduce at a constant rate.Logistic Growth: occurs when a population's growth slows or stops following a period of exponential growth around a carrying capacity.
