Determine Where the Graph of the Function $f ( x ) = x ^ { 3 } - 6 x$

question 15

Short Answer

Determine where the graph of the function $f ( x ) = x ^ { 3 } - 6 x$ is concave upward and where it is concave downward. Also, find all inflection points of the function.

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Definitions:

Noise

Unwanted sound that is loud, unpleasant, or causes disturbance.

Correlational Study

A type of research design where the relationship between two variables is examined, without determining cause and effect.

Independent Variable

The factor in an experiment that the researcher alters or controls to see how it impacts the dependent variable.

Independent Variable

A variable in an experiment that is manipulated or changed by the researcher to observe its effects on the dependent variable.