Find the Cubic or Quartic Function That Models the Data $$\begin{array} { c | c c c c c } \mathrm { x } & 2 & 3 & 5 & 6 & 7 \\\hline \mathrm { y } & 3 & 5 & 9 & 15 & 19\end{array} \text { (Quartic) }$$

Multiple Choice

Find the cubic or quartic function that models the data in the table.
- $$\begin{array} { c | c c c c c } \mathrm { x } & 2 & 3 & 5 & 6 & 7 \\\hline \mathrm { y } & 3 & 5 & 9 & 15 & 19\end{array} \text { (Quartic) }$$

A) $y = - 0.18 x ^ { 4 } + 3.27 x ^ { 3 } - 20.02 x ^ { 2 } + 51.93 x - 44.00$
B) $y = 0.16 x ^ { 4 } + 3.77 x ^ { 3 } + 20.02 x ^ { 2 } + 51.93 x - 44.00$
C) $y = - 0.18 x ^ { 4 } + 3.27 x ^ { 3 } + 20.02 x ^ { 2 } + 55.93 x - 46.00$
D) $y = - 0.18 x ^ { 4 } + 3.77 x ^ { 3 } - 20.02 x ^ { 2 } + 41.93 x - 44.00$