Find a Formula for the Slope of the Graph Of f

question 77

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. $f ( x ) = 3 - x ^ { 2 } , \quad ( - 1,2 )$

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

---

Definitions:

Spans of Control

Refers to the number of subordinates a supervisor or manager can effectively manage and oversee.

Divided Labour

The breakdown of work into smaller, specialized tasks to increase efficiency, also known as division of labor.

Coordinate

To organize different elements or activities efficiently so they work well together and achieve a desired outcome.

Highly Centralized

A structural approach in organizations where decision-making authority is concentrated at the top levels of management.