Because the Derivative of a Function Represents Both the Slope

question 64

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) positive?

• A)b c d
• B)c
• C)a b c d
• D)a b c
• E)a b d

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Definitions:

Singular Propositions

A type of proposition concerning exactly one particular subject.

Distributed

In logic, referring to a term in a categorical proposition that applies to all members of the denoted class.

Distributed

Refers to a system or process that is spread out across multiple locations or among various entities.

Existential Import

The concept that a statement implies the existence of the subject it mentions.