Find the Logistic Function F with the Given Properties $f ( x ) = \frac { 1 } { 1 + 2 \left( 8 ^ { - x } \right) }$

question 41

Multiple Choice

Find the logistic function f with the given properties. f has limiting value 18 and passes through (0, 9) and (1, 16) .

• A) \(f ( x ) = \frac { 1 } { 1 + 2 \left( 8 ^ { - x } \right) }\)
• B) \(f ( x ) = \frac { 18 } { 1 + 2 \left( 16 ^ { - x } \right) }\)
• C) \(f ( x ) = \frac { 18 } { 1 + \left( 8 ^ { - x } \right) }\)
• D) \(f ( x ) = \frac { 9 } { 1 + \left( 8 ^ { - x } \right) }\)
• E) \(f ( x ) = \frac { 18 } { 1 + \left( 16 ^ { - x } \right) }\)

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