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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.
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".
Is the equation P500(1.03) with an exponent of n a model of Growth or Exponential Decay?
It can be growth or decay - it depends on whether n is positive (growth) or negative (decay).
Do all exponential functions show growth over time?
If the exponent has the variable of time in it, then it will be either exponential growth (such as compound interest for example), or exponential decay (such as radioactive materials, or a capacitor discharging). If the time constant (coefficient of the time variable) is positive then it is growth, if the time constant is negative, then it is decay.
What possible values can the growth factor have in an exponential decay equation?
Any number below negative one.
