Find a Formula for the Slope of the Graph Of f

question 115

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. $f ( x ) = \sqrt { x - 3 } , \quad ( 52,7 )$

• A) \(\begin{array} { l }
• m = \frac { 1 } { 2 \sqrt { x - 3 } } \\
• \text { At } ( 52,7 ) , m = - \frac { 1 } { 14 }
• \end{array}\)
• B) \(\begin{array} { l }
• m = \frac { 1 } { 2 \sqrt { x - 3 } } \\
• \operatorname { At } ( 52,7 ) , m = \frac { 1 } { 14 }
• \end{array}\)
• C) \(\begin{array} { l }
• m = \frac { 1 } { \sqrt { x - 3 } } \\
• \operatorname { At } ( 52,7 ) , m = \frac { 1 } { 14 }
• \end{array}\)
• D) \(\begin{array} { l }
• m = - \frac { 1 } { 2 \sqrt { x - 3 } } \\
• \operatorname { At } ( 52,7 ) , m = \frac { 1 } { 14 }
• \end{array}\)
• E) \(\begin{array} { l }
• m = - \frac { 1 } { 2 \sqrt { x - 3 } } \\
• \text { At } ( 52,7 ) , m = - \frac { 1 } { 14 }
• \end{array}\)

Comprehend the implications of changes in supply and demand on market equilibrium.

Understand the determinants of supply in the market.

Differentiate between movements along the supply curve and shifts in the supply curve.

Identify factors that cause an increase or decrease in the supply of a good.

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Definitions:

Transformational Leadership

A leadership approach that causes change in individuals and social systems, enabling followers to transcend their own self-interests for the good of the group or organization.

Vision

A statement that clarifies the purpose of the organization and expresses what it hopes to be in the future.

Shared "Dreams"

Common aspirations or goals among a group of people, which motivate collective action towards achieving a shared vision.

"Old-Fashioned" Leadership

A style of leadership characterized by traditional approaches, such as top-down decision-making and autocratic management practices.