Graph the Function, Showing All Asymptotes (Those That Do Not $$f ( x ) = \frac { x ^ { 2 } - 3 x - 4 } { 3 x ^ { 2 } + 2 }$$

question 4

Multiple Choice

Graph the function, showing all asymptotes (those that do not correspond to an axis) as dashed lines. List the x- and
y-intercepts.
- $$f ( x ) = \frac { x ^ { 2 } - 3 x - 4 } { 3 x ^ { 2 } + 2 }$$

• A) No \(x\)-intercepts, \(y\)-intercept: \(( 0 , - 4 )\);
• B) No \(x\)-intercepts, \(y\)-intercept: \(( 0 , - 4 )\);
• C) x-intercepts: \(( 1,0 )\) and \(( - 4,0 )\),
• D) x-intercepts: \(( - 1,0 )\) and \(( 4,0 )\), y-intercept: \(( 0 , - 2 )\); \(\mathrm { y }\)-intercept: \(( 0 , - 2 )\);

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Definitions:

Monopolistically Competitive

This refers to a market structure where many companies sell products that are similar but not identical, allowing for some degree of market power and product differentiation.

Economic Profit

The difference between a firm's total revenues and its opportunity costs, representing the additional gain over what could have been earned in the next best alternative.

Normal Profit

The minimum level of earnings needed for a company to remain in business, often considered as the company's opportunity cost.

Break Even

The juncture where the aggregate of all costs matches the total income, leading to neither a profit nor a loss.