Find the Exponential Function That Models the Data in the Table

question 118

Multiple Choice

Find the exponential function that models the data in the table below. Round the coefficients to the nearest hundredth. $\begin{array}{c|c|c|c|c|c}\mathrm{x} & 1 & 2 & 3 & 4 & 5 \\\hline \mathrm{y} & 4.0 & 4.8 & 6.2 & 7.8 & 9.9\end{array}$

• A) \(f ( x ) = \frac { 3.95 } { 1 + 510.08 e ^ { - 2 x } }\)
• B) \(f ( x ) = 3.11 ( 1.26 ) ^ { x }\)
• C) \(f ( x ) = \frac { 3.95 } { 1 + 511.07 e ^ { - 2 x } } + 4.45\)
• D) \(f ( x ) = 3.33 ( 1.20 ) ^ { x }\)

---

Definitions:

Lambdoid

Referring to the lambdoid suture, a dense, fibrous connective tissue joint that lies between the parietal and the occipital bones at the posterior part of the skull.

Sagittal

A term referring to a plane or section that divides the body or any of its parts into right and left sections.

Frontal

Pertaining to the forehead or the anterior part of the brain's frontal lobes involved in decision making and problem-solving.

Squamous

Relating to or resembling a scale or scales; flat cells that are typically found in the lining of the mouth, airways, and blood vessels.