Question
David is observing a bacterial population. The population doubles every 30 minutes. The function p(x)=200*2^x models the population, where x is the number of 30-minute periods since David began observing.
Identify the y-intercept and the asymptote of the graph of the function.
Identify the y-intercept and the asymptote of the graph of the function.
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GPT 3.5
The y-intercept occurs when x=0, so we can find it by plugging in x=0 into the function:
p(0) = 200*2^0 = 200*1 = 200
Therefore, the y-intercept is 200.
The function p(x)=200*2^x approaches infinity as x approaches infinity, so the graph has an asymptote at y=∞.
p(0) = 200*2^0 = 200*1 = 200
Therefore, the y-intercept is 200.
The function p(x)=200*2^x approaches infinity as x approaches infinity, so the graph has an asymptote at y=∞.
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