Describe the Right-Hand and the Left-Hand Behavior of the Graph $q ( x ) = - 5 x ^ { 4 } + 12 x ^ { 3 } + 13$

question 5

Multiple Choice

Describe the right-hand and the left-hand behavior of the graph of $q ( x ) = - 5 x ^ { 4 } + 12 x ^ { 3 } + 13$ .

• A)Because the degree is even and the leading coefficient is negative,the graph falls to the left and rises to the right.
• B)Because the degree is even and the leading coefficient is negative,the graph rises to the left and falls to the right.
• C)Because the degree is even and the leading coefficient is negative,the graph falls to the left and falls to the right.
• D)Because the degree is odd and the leading coefficient is negative,the graph rises to the left and rises to the right.
• E)Because the degree is even and the leading coefficient is negative,the graph rises to the left and rises to the right.

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Definitions:

Producer Surplus

The difference between what producers are willing to accept for a good or service versus what they actually receive, due to higher market prices.

Equilibrium Point

The point at which market supply and demand balance each other, and as a result, prices become stable.

S And D Curves

Stand for Supply and Demand curves, graphical representations in economics that illustrate the relationship between the quantity of goods available for sale and the quantity of goods that consumers are willing and able to buy at various prices.

Total Revenues

The entire amount of money received by a company from its business activities before any expenses are subtracted.