Find the Cubic or Quartic Function That Models the Data $\begin{array}{c|cccc}x & -5 & 0 & 2 & 3 \\\hline y & -60 & 5 & 3 & 10\end{array} \text { (Cubic) }$

question 37

Multiple Choice

Find the cubic or quartic function that models the data in the table.
- $\begin{array}{c|cccc}x & -5 & 0 & 2 & 3 \\\hline y & -60 & 5 & 3 & 10\end{array} \text { (Cubic) }$

• A) \(y = 0.58 x ^ { 3 } - 0.25 x ^ { 2 } - 2.83 x + 5.00\)
• B) \(y = 0.49 x ^ { 3 } - 0.25 x ^ { 2 } + 2.83 x + 5.00\)
• C) \(y = 0.49 x ^ { 3 } - 0.25 x ^ { 2 } - 2.83 x + 5.00\)
• D) \(y = 0.58 x ^ { 3 } + 0.25 x ^ { 2 } - 2.83 x + 5.00\)

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Definitions:

Equilibrium Quantity

The quantity of goods or services supplied and demanded at the equilibrium price, where the quantity supplied equals the quantity demanded.

Equilibrium Price

The price at which the quantity of a good or service demanded equals the quantity supplied, resulting in market balance and no excess supply or demand.

Equilibrium Quantity

The quantity of goods or services supplied equals the quantity demanded at the market equilibrium price.

Supply Curve

A graphical representation showing the relationship between the price of a good or service and the amount of it that producers are willing and able to supply at various prices.