Explicit and Recursive Exponential Growth

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The population of a certain organism triples every hour. Write a function that models this growth. By what factor does the population grow in one-half hour?

I'm unsure of how I should approach the problem. Since I do not know f(0), I'd just assume that: f(x) = x^3

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$x^3$ is polynomial growth, what you want is exponential growth. Try $f(x)=P_03^x$ instead for the first part of the question. $P_0$ represents the initial population.