Find the Cubic or Quartic Function That Models the Data $\begin{array}{l|ccccc}\mathrm{x} & -3 & 1 & 4 & 6 & 8 \\\hline \mathrm{y} & 0 & 3 & 5 & 9 & 12\end{array} \text { (Quartic) }$

Multiple Choice

Find the cubic or quartic function that models the data in the table.
- $\begin{array}{l|ccccc}\mathrm{x} & -3 & 1 & 4 & 6 & 8 \\\hline \mathrm{y} & 0 & 3 & 5 & 9 & 12\end{array} \text { (Quartic) }$

A) $y = - 0.01 x ^ { 4 } + 0.29 x ^ { 3 } - 0.06 x ^ { 2 } - 0.23 x + 3.23$
B) $y = - 0.01 x ^ { 4 } + 0.29 x ^ { 3 } - 0.16 x ^ { 2 } - 0.23 x + 2.26$
C) $y = 0.01 x ^ { 4 } - 0.09 x ^ { 3 } - 0.08 x ^ { 2 } - 0.23 x + 3.23$
D) $y = - 0.01 x ^ { 4 } + 0.09 x ^ { 3 } - 0.08 x ^ { 2 } - 0.23 x + 3.23$