Graph the Equation $y=x^{1 / 3}\left(x^{2}-63\right)$ A) No Extrema
Inflection Point $( 0,0 )$

question 298

Multiple Choice

Graph the equation. Include the coordinates of any local and absolute extreme points and inflection points.
- $y=x^{1 / 3}\left(x^{2}-63\right)$

• A) no extrema inflection point: \(( 0,0 )\)
• B) local minimum: \(\left( \pm \sqrt { 27 } , - \frac { 27 } { 2 } \right)\) local maximum: \( (0,0) \) inflection points: \( (\pm 3,-5) \)
• C) local minimum: \( (3,-54 \sqrt[3]{3}) \) local maximum: \( (-3,54 \sqrt[3]{3}) \) inflection point: \( (0,0) \)
• D) local minimum: \( (0,0) \) no inflection points

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Definitions:

Total Cost Concept

A principle in accounting and economics that considers all costs related to the production of a good or service, both fixed and variable.

Manufacturing Costs

Expenses directly related to the production of goods, including direct labor, direct materials, and manufacturing overhead.

Selling and Administrative Expenses

Costs related to the selling of products and the general administration of a business.

Differential Income

The difference in income between two alternative decisions or scenarios, used in managerial decision-making to determine the better financial option.