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

question 197

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) \(y = - 0.01 x ^ { 4 } + 0.09 x ^ { 3 } - 0.08 x ^ { 2 } - 0.23 x + 3.23\)

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Definitions:

Descending Abdominal Aorta

A part of the aorta that runs down through the abdomen, supplying oxygenated blood to abdominal organs.

Anterior Tibial Artery

A significant artery in the lower leg, supplying blood to the anterior compartment of the leg and the dorsal part of the foot.

Tibialis Anterior Muscle

A muscle in the front part of the lower leg that is involved in dorsiflexion and inversion of the ankle.