Given the Following Data About a Function F, Estimate $f^{\prime}(4.75)$ $\begin{array}{cccccccc}x & 3 & 3.5 & 4 & 4.5 & 5 & 5.5 & 6 \\f(x) & 10 & 8 & 7 & 4 & 2 & 0 & -1\end{array}$

question 21

Short Answer

Given the following data about a function f, estimate $f^{\prime}(4.75)$
.
$\begin{array}{cccccccc}x & 3 & 3.5 & 4 & 4.5 & 5 & 5.5 & 6 \\f(x) & 10 & 8 & 7 & 4 & 2 & 0 & -1\end{array}$

---

Definitions:

Alcohol Sensitivity

The degree to which an individual reacts to the consumption of alcohol, which can vary greatly among different people.

Metabolism

The set of life-sustaining chemical reactions in organisms that enable the conversion of food to energy, the construction of proteins and nucleic acids, and the elimination of nitrogenous wastes.

DSM

The Diagnostic and Statistical Manual of Mental Disorders, a handbook used by healthcare professionals as the authoritative guide to the diagnosis of mental disorders.

Depression

A mental disorder characterized by persistent sadness, loss of interest in activities, and the inability to experience pleasure, affecting one's thoughts, behavior, feelings, and sense of well-being.