Choose the Logistic Function That Best Approximates the Curve $f ( x ) = \frac { 16 } { 2 + 6 ( 4 ) ^ { - x } }$

question 77

Multiple Choice

Choose the logistic function that best approximates the curve.

• A) \(f ( x ) = \frac { 16 } { 2 + 6 ( 4 ) ^ { - x } }\)
• B) \(f ( x ) = \frac { 16 } { 2 + 5 ( 1.1 ) ^ { - x } }\)
• C) \(f ( x ) = \frac { 16 } { 2 + 6 ( 1.1 ) ^ { - x } }\)

---

Definitions:

Law of Diminishing Returns

An economic principle stating that if one factor of production is increased while other factors are held constant, the incremental output per unit of the increased factor will eventually decrease.

Decreasing Rate

A condition in which the rate or speed of a given process or phenomenon reduces over time.

Increasing Rate

A rate that accelerates or grows over time, often used in the context of compound interest, inflation, or the escalation of prices.

Marginal

Relating to the additional cost or benefit associated with producing one more unit of a good or service.