Because the Derivative of a Function Represents Both the Slope

question 209

Multiple Choice

Because the derivative of a function represents both the slope of the tangent to the curve and the instantaneous rate of change of the function, it is possible to use information about one to gain information about the other. In this problem, use the graph of the function given in the figure. At what point(s) A through E is the rate of change of f (x) equal to zero?

• A) A C E
• B) D
• C) B D
• D) A B D
• E) B C

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Definitions:

Pegboard

A tool used in accounting and administrative systems to track financial transactions and appointments.

Accounting

The process of communicating the income and expenses of a business and its financial health.

Financial Health

The state of one's personal monetary affairs, including the ability to manage expenses, save for the future, and handle emergencies.

Journalizing

The process of logging charges and receipts in a chronological list each day; used in the single-entry system of bookkeeping.