It is expected in traditional mathematics that when you input data into a well-defined equation you get an expected output. We looked at the logistic equation f(x) = rx(1-x) with different initial inputs. Explain how with some initial conditions we get a predictable result but with others the result was surprisingly different - how was it different?

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A: According to guideline I only solve the the first question. Please post other question as new post.

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