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

question 56

Multiple Choice

Given the following data about a function f(x) , the equation of the tangent line at x = 5 is approximated by $\begin{array}{cccccccc}x & 3 & 3.5 & 4 & 4.5 & 5 & 5.5 & 6 \\f(x) & 10 & 8 & 7 & 4 & 2 & 0 & -1\end{array}$

• A) \(y-5=-4(x-2)\)
• B) \(y-5=-8(x-2)\)
• C) \(y-2=-4(x-5)\)
• D) \(y-2=-8(x-5)\)

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Definitions:

Kaoru Ishikawa

A pioneer of quality management processes in Japan and the developer of the cause-and-effect diagram, also known as the "Ishikawa" or "fishbone" diagram.

Therbligs

A set of fundamental motions or actions used in the study of motion economy within the workplace, developed by Frank Bunker Gilbreth and Lillian Moller Gilbreth.

Frank and Lillian Gilbreth

Frank and Lillian Gilbreth were pioneers in the field of industrial engineering and time and motion studies, focusing on efficiency and labor-saving techniques.

Frederick W. Taylor

Known as the father of scientific management, he introduced methods for improving industrial efficiency.