Find a Formula for the Slope of the Graph Of f

question 132

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. $f ( x ) = \sqrt { x - 4 } , \quad ( 8,2 )$

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

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Definitions:

Dividend Yield

A financial ratio that indicates how much a company pays out in dividends each year relative to its share price.

Capital Gains Yield

Capital gains yield refers to the price appreciation component of a stock's total return, calculated as the change in stock price divided by the original price.

Required Return

The minimum return an investor expects to achieve by investing in a particular asset, considering the risk associated.

Dividend Yield

A metric illustrating the annual dividends paid by a firm as a proportion of its share price, typically represented as a percentage.