Applet: Exponential growth

The applet below allows you to investigate the exponential growth process further. The line that is already on the applet is the solution to the startingwith3flies, 2eggsperflypermonth problem above. You can change the growth rate (by moving the slider).
What happens to dynamics as the growth rate increases?
What if the growth rate is BELOW 1? In other words, if the population is experiencing negative growth?
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