Find the Cubic or Quartic Function That Models the Data $\begin{array}{c|cccc}x & -3 & 1 & 3 & 4 \\\hline y & 50 & -3 & -45 & -102\end{array} \text { (Cubic) }$

Multiple Choice

Find the cubic or quartic function that models the data in the table.
- $\begin{array}{c|cccc}x & -3 & 1 & 3 & 4 \\\hline y & 50 & -3 & -45 & -102\end{array} \text { (Cubic) }$

A) $y = - 1.83 x ^ { 3 } + 0.24 x ^ { 2 } - 2.07 x + 0.36$
B) $y = - 1.53 x ^ { 3 } + 0.54 x ^ { 2 } - 2.07 x + 0.36$
C) $y = - 1.53 x ^ { 3 } + 0.24 x ^ { 2 } - 2.07 x + 0.36$
D) $y = - 1.53 x ^ { 3 } + 0.24 x ^ { 2 } - 2.57 x + 0.36$