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

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) $f ( x ) = \frac { 12 } { 1 + 3 \left( 30 ^ { - x } \right) }$