The Graph of the Second Derivative $$f ^ { \prime \prime } ( x )$$

question 28

Multiple Choice

The graph of the second derivative, $$f ^ { \prime \prime } ( x )$$ , is given.
Determine the x-coordinates of all points of inflection of f(x) , if any. (Assume that f(x) is defined and continuous everywhere in $[ - 3,3 ]$ .)

• A) \(x = - 2 , x = 0 , x = 2\)
• B) \(x = - 2.2 , x = 2.2\)
• C) \(x = - 1.2 , x = 0 , x = 1.2\)
• D) \(x = - 1.2 , x = 1.2\)
• E) \(x = 0\)

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Definitions:

Prospective Study

A research design that follows participants forward in time to examine the relationship between specific exposures and outcomes.

Clinical Trial

A research design that tests the effects of medical treatment. Many clinical trials are randomized controlled trials that allow researchers to determine whether a new treatment is or is not effective.

Ex Post Facto Study

A research design that examines the effects of an independent variable on a dependent variable, where the study is conducted after the events have occurred.

Independent Variable

In research, a variable that is manipulated or changed to observe its effect on a dependent variable.