State Whether the Function Is a Polynomial Function or Not $$f ( x ) = \frac { x ^ { 4 } - 7 } { x ^ { 3 } }$$

question 12

Multiple Choice

State whether the function is a polynomial function or not. If it is, give its degree. If it is not, tell why not.
- $$f ( x ) = \frac { x ^ { 4 } - 7 } { x ^ { 3 } }$$

• A) Yes; degree -3
• B) Yes; degree 3
• C) No; it is a ratio of polynomials
• D) Yes; degree 4

---

Definitions:

Socially Efficient

A condition where resources are allocated in a way that maximizes the overall benefit to society, taking into account all costs and benefits.

Marginal Cost

The additional cost incurred by producing one more unit of a good or service.

Nash Equilibrium

Nash Equilibrium is a concept in game theory where each player's strategy is optimal given the strategies of all other players, leading to a situation where no player can benefit by changing strategies unilaterally.

Profit-Maximizing

A strategy or process by which a firm adjusts its production and pricing to achieve the highest profit possible.