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) $f ( x ) = \frac { 18 } { 1 + \left( 16 ^ { - x } \right) }$

Question

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)   $f ( x ) = \frac { 18 } { 1 + \left( 16 ^ { - x } \right) }$

Quizplus · Accepted Answer

The Answer is C

Find the Logistic Function F with the Given Properties f(x)=11+2(8−x)f ( x ) = \frac { 1 } { 1 + 2 \left( 8 ^ { - x } \right) }f(x)=1+2(8−x)1​

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