APFIVE Logistic Model of Species Adaptation
The probability that a species will successfully adapt to environmental changes is modeled by the logistic function $$P(x)=\frac{1}{1+e^{-0.5*(x-2)}}$$, where $$x$$ is the ratio of the species’ generation time to the rate of environmental change. Which of the following statements is NOT true?
A
For values of x much greater than 2, the probability of adaptation approaches 1.
B
The function is logistic, transitioning smoothly from 0 to 1 as x increases.
C
The derivative of $$P(x)$$ is maximal at x = 2, making it the point of greatest change in adaptation probability.
D
At x = 2, the probability of successful adaptation is 1.
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