If an Equation of the Tangent Line to the Curve $y = f ( x )$

question 4

Multiple Choice

If an equation of the tangent line to the curve $y = f ( x )$ at the point where $a = 8 \text { is } y = 4 x - 7 \text {, }$ $\text { find } f ( 8 ) \text { and } f ^ { \prime } ( 8 ) \text {. }$

• A) \(\begin{array} { l }
• f ( 2 ) = 25 \\
• f ^ { \prime } ( 2 ) = 3
• \end{array}\)
• B) \(\begin{array} { l }
• f ( 2 ) = - 8 \\
• f ^ { \prime } ( 2 ) = 8
• \end{array}\)
• C) \(\begin{array} { l }
• f ( 2 ) = 7 \\
• f ^ { \prime } ( 2 ) = 4
• \end{array}\)
• D) \(\begin{array} { l }
• f ( 2 ) = 25 \\
• f ^ { \prime } ( 2 ) = 4
• \end{array}\)
• E) None of these

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A business structure where a single individual owns, manages, and is responsible for all aspects of the business, including liabilities.

Management

The process of dealing with or controlling things or people, often within an organizational context.

Limited Liability Company

A blend of organizational structures that offers the tax efficiencies of a partnership or sole proprietorship alongside the minimized personal financial risk characteristic of a corporation.

Business Organization

A legal entity formed to conduct business, such as a corporation, partnership, or sole proprietorship.