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1. This problem is about the logistic function. A) Find a logistic function, f(x), passing through (0, 50), with a limiting value of 100 and

1. This problem is about the logistic function.

A) Find a logistic function, f(x), passing through (0, 50), with a limiting value of 100 and initially increasing at 25% per unit of x. SHOW WORK.

B) Use algebra (SHOW WORK) to solve the equation, f(x)=80, for x.

C) For what x-value is the graph of this logistic function steepest? SHOW WORK.

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