The Function $f ( x )$ Changes Value When $x$ Changes From $x _ { 0 }$

question 411

Multiple Choice

The function $f ( x )$ changes value when $x$ changes from $x _ { 0 }$ to $x _ { 0 } + d x$ . Find the approximation error $| \Delta f - d f |$ . Round your answer, if appropriate.
- $$f ( x ) = \frac { 1 } { x } , x _ { 0 } = 3 , d x = 0.4$$

• A) 0.16732
• B) 0.08366
• C) 0.34379
• D) 0.00522

---

Definitions:

Qualitative Evaluation

An assessment method focusing on descriptive and thematic analysis rather than numerical data to understand phenomena.

Incorporating Theory

The process of including and integrating established theories into new or existing frameworks or models to enhance explanation, prediction, or understanding.

Design of Interventions

Refers to the systematic process of developing strategies or programs intended to address specific problems or conditions, often used in public health, education, or psychology.

Program Logic Model

A systematic and visual way to present and share the understanding of the relationships among the resources, activities, outputs, and anticipated outcomes of a program.