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Find the Logistic Function F with the Given Properties f(x)=11+2(8x)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) =11+2(8x) f ( x ) = \frac { 1 } { 1 + 2 \left( 8 ^ { - x } \right) }
B) f(x) =181+2(16x) f ( x ) = \frac { 18 } { 1 + 2 \left( 16 ^ { - x } \right) }
C) f(x) =181+(8x) f ( x ) = \frac { 18 } { 1 + \left( 8 ^ { - x } \right) }
D) f(x) =91+(8x) f ( x ) = \frac { 9 } { 1 + \left( 8 ^ { - x } \right) }
E) f(x) =181+(16x) f ( x ) = \frac { 18 } { 1 + \left( 16 ^ { - x } \right) }

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