Identify Any Intercepts and Test for Symmetry $y = x ^ { 3 } - 6$

question 283

Multiple Choice

Identify any intercepts and test for symmetry.Then sketch the graph of the equation.
$y = x ^ { 3 } - 6$

• A)x- intercept: ( \(\sqrt [ 3 ] { 6 }\) , 0)y- intercept: (0, ±6)No symmetry
• B)x- intercept: ( \(\sqrt [ 3 ] { 6 }\) , 0)y- intercept: (0, -6)No symmetry
• C)x- intercept: ( \(\sqrt [ 3 ] { 6 }\) , 0)y- intercept: (0, 6)No symmetry
• D)x- intercept: ( \(\sqrt [ 3 ] { - 6 }\) , 0)y- intercept: (0, 6)No symmetry
• E)x- intercept: ( \(\sqrt [ 3 ] { - 6 }\) , 0)y- intercept: (0, ±6)No symmetry

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Definitions:

Schizophrenia

A chronic and severe mental disorder that affects how a person thinks, feels, and behaves, often characterized by delusions, hallucinations, and disorganized speech.

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Non-specific signs of a disease or disorder not definitively linked to any one condition.

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Anhedonia

A condition in which the ability to experience pleasure from activities usually found enjoyable is lost.