Use a Graphing Device to Graph the Polynomial $p ( x ) = 3 x ^ { 4 } - 4 x ^ { 3 } - 10 x$

question 72

Multiple Choice

Use a graphing device to graph the polynomial $p ( x ) = 3 x ^ { 4 } - 4 x ^ { 3 } - 10 x$ to describe its end behavior

• A) \(p ( x ) \rightarrow 0\)As \(x \rightarrow \infty\)
• ; \(p ( x ) \rightarrow \infty\)As \(x \rightarrow - \infty \)
• B) \(p ( x ) \rightarrow \infty\)As \(x \rightarrow \infty\)
• ; \(p ( x ) \rightarrow 0\)As \(x \rightarrow - \infty\)
• C) \(p ( x ) \rightarrow - \infty\)As \(x \rightarrow \infty\)
• ; \(p ( x ) \rightarrow - \infty\)As \(x \rightarrow - \infty 3\)
• D) \(p ( x ) \rightarrow - \infty\)As \(x \rightarrow \infty\)
• ; \(p ( x ) \rightarrow \infty\)As \(x \rightarrow - \infty\)
• E) \(p ( x ) \rightarrow \infty\)As \(x \rightarrow \infty\)
• ; \(p ( x ) \rightarrow \infty\)As \(x \rightarrow - \infty \)

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Definitions:

Total Costs

The sum of all expenses incurred in the production of goods or services, including fixed and variable costs.

Total Revenue

The overall income generated by a firm from its sales activities before any costs or expenses are subtracted.

Normal Return

The minimum profit necessary for a company to remain in business, often equated to covering opportunity costs.

Total Fixed Costs

The sum of all costs required to produce any output, assuming they remain constant regardless of the level of production.