Find the Logistic Function F with the Given Properties $f ( x ) = \frac { 12 } { 1 + 4 \left( 30 ^ { - x } \right) }$

question 59

Multiple Choice

Find the logistic function f with the given properties. f has limiting value 12 and passes through (0, 3) and (1, 10) .

• A) \(f ( x ) = \frac { 12 } { 1 + 4 \left( 30 ^ { - x } \right) }\)
• B) \(f ( x ) = \frac { 12 } { 1 + 3 \left( 15 ^ { - x } \right) }\)
• C) \(f ( x ) = \frac { 3 } { 1 + 3 \left( 30 ^ { - x } \right) }\)
• D) \(f ( x ) = \frac { 3 } { 1 + 3 \left( 15 ^ { - x } \right) }\)
• E) \(f ( x ) = \frac { 12 } { 1 + 3 \left( 30 ^ { - x } \right) }\)

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