Because the Derivative of a Function Represents Both the Slope

question 91

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. Over what interval(s) (a) through (d) is the rate of change of f (x) negative?

• A)a
• B)d
• C)b d
• D)c
• E)a b c

---

Definitions:

Organized Labor

Refers to labor unions and other groups that represent workers in negotiations with employers over wages, working conditions, and rights.

Civil Disobedience

The act of refusing to obey certain laws, demands, or commands of a government or occupying power, as a form of political protest, typically in a nonviolent manner.

Nonviolent Resistance

A method of protest that seeks to achieve goals through symbolic protests, civil disobedience, economic or political noncooperation, without using violence.

Christianity

A monotheistic religion based on the life and teachings of Jesus Christ, emphasizing the role of Jesus as savior and the son of God.