Find a Formula for the Slope of the Graph Of f

question 62

Multiple Choice

Find a formula for the slope of the graph of $f$ at the point $( x , f ( x ) )$ .Then use it to find the slope at the given point. $f ( x ) = \sqrt { x - 1 } , \quad ( 17,4 )$

• A) \(\begin{array} { l }
• m = - \frac { 1 } { 2 \sqrt { x - 1 } } \\
• \text { At } ( 17,4 ) , m = \frac { 1 } { 8 }
• \end{array}\)
• B) \(\begin{array} { l }
• m = \frac { 1 } { 2 \sqrt { x - 1 } } \\
• \text { At } ( 17,4 ) , m = - \frac { 1 } { 8 }
• \end{array}\)
• C) \(\begin{array} { l }
• m = \frac { 1 } { \sqrt { x - 1 } } \\
• \text { At } ( 17,4 ) , m = \frac { 1 } { 8 }
• \end{array}\)
• D) \(\begin{array} { l }
• m = \frac { 1 } { 2 \sqrt { x - 1 } } \\
• \text { At } ( 17,4 ) , m = \frac { 1 } { 8 }
• \end{array}\)
• E) \(\begin{array} { l }
• m = - \frac { 1 } { 2 \sqrt { x - 1 } } \\
• \text { At } ( 17,4 ) , m = - \frac { 1 } { 8 }
• \end{array}\)

---

Definitions:

American Society

A diverse societal structure in the United States characterized by a wide range of cultures, ethnicities, and social practices.

Interracial Relationships

Romantic or intimate relationships between individuals of different racial backgrounds, historically subject to societal scrutiny and legal prohibitions.

World War II

A global conflict lasting from 1939 to 1945, involving most of the world's nations and marked by significant battles, genocide, and ultimately the defeat of the Axis powers.

Social Constraints

The societal norms, expectations, and pressures that influence individuals' behavior and choices in a community.