Find the Logistic Function F with the Given Properties $f ( 0 ) = 1$

question 34

Multiple Choice

Find the logistic function f with the given properties. $f ( 0 ) = 1$ , f has limiting value 20, and for small values of x, f is approximately exponential and grows by 50% with every increase of 1 in x.

• A) \(f ( x ) = \frac { 1 } { 1 + 1.5 ^ { - x } }\)
• B) \(f ( x ) = \frac { 20 } { 1 + 19 \left( 1.5 ^ { - x } \right) }\)
• C) \(f ( x ) = \frac { 20 } { 1 + 2 ^ { - x } }\)
• D) \(f ( x ) = \frac { 20 } { 1 + 19 \left( 2 ^ { - x } \right) }\)
• E) \(f ( x ) = \frac { 20 } { 1 + 1.5 ^ { x } }\)

---

Definitions:

Negative Inequality

Refers to situations where resources or benefits are distributed among individuals or groups in a way that is perceived as unfairly disadvantageous.

Company

An organization engaged in commercial, industrial, or professional activities.

Basic Causes

Fundamental reasons or root factors that lead to a particular outcome or condition, often underlying more immediate or apparent causes.

Group Conflict

The clash or disagreement among members within a group, often arising from differing goals, values, or perceptions.