exponential functions


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In order to understand the urgency I feel about the issues covered in the Crash Course, you need to understand the power of compounding. If something, such as a population, oil demand, a money supply, or anything else steadily increases in size in some proportion to its current size, and you graph it over time, the graph will look like a hockey stick.

Said more simply, if something is increasing over time on a percentage basis, it is growing exponentially. With exponential functions, the action really only heats up in the last few moments. There is simply not a lot of maneuvering room once you hop on the vertical portion of a compound graph.