Find the cubic or quartic function that models the data in the table.
-$\begin{array}{r|rrrrr}
x & 0 & 3 & 7 & 9 & 11 \
\hline y & -1 & 5 & 9 & 15 & 19
\end{array} \text { (Quartic }$

A) $y = - 0.02 x ^ { 4 } + 0.22 x ^ { 3 } + 1.96 x ^ { 2 } - 5.72 x - 1.00$
B) $y = - 0.01 x ^ { 4 } - 0.27 x ^ { 3 } + 1.94 x ^ { 2 } + 5.70 x - 1.00$
C) $y = 0.01 x ^ { 4 } + 0.22 x ^ { 3 } - 1.94 x ^ { 2 } - 5.72 x - 1.00$
D) $y = - 0.01 x ^ { 4 } + 0.27 x ^ { 3 } - 1.94 x ^ { 2 } + 5.70 x - 1.00$

Question

Find the cubic or quartic function that models the data in the table.
-$\begin{array}{r|rrrrr}
x & 0 & 3 & 7 & 9 & 11 \
\hline y & -1 & 5 & 9 & 15 & 19
\end{array} \text { (Quartic }$

A) $y = - 0.02 x ^ { 4 } + 0.22 x ^ { 3 } + 1.96 x ^ { 2 } - 5.72 x - 1.00$
B) $y = - 0.01 x ^ { 4 } - 0.27 x ^ { 3 } + 1.94 x ^ { 2 } + 5.70 x - 1.00$
C) $y = 0.01 x ^ { 4 } + 0.22 x ^ { 3 } - 1.94 x ^ { 2 } - 5.72 x - 1.00$
D) $y = - 0.01 x ^ { 4 } + 0.27 x ^ { 3 } - 1.94 x ^ { 2 } + 5.70 x - 1.00$

Quizplus · Accepted Answer

To find the correct quartic function that models the data, you can substitute the given x-values into each option and see which one produces the corresponding y-values from the table. Option D correctly models the data as it is the only function that, when the x-values are substituted, results in the y-values given in the table.

Find the Cubic or Quartic Function That Models the Data x037911y−1591519 (Quartic \begin{array}{r|rrrrr}x & 0 & 3 & 7 & 9 & 11 \\\hline y & -1 & 5 & 9 & 15 & 19\end{array} \text { (Quartic }xy​0−1​35​79​915​1119​​ (Quartic

Find the Cubic or Quartic Function That Models the Data $\begin{array}{r|rrrrr}x & 0 & 3 & 7 & 9 & 11 \\\hline y & -1 & 5 & 9 & 15 & 19\end{array} \text { (Quartic }$