Use the Leading Coefficient Test to Determine the End Behavior

question 440

Multiple Choice

Use the Leading Coefficient Test to determine the end behavior of the polynomial function. Then use this end
-The following table shows the number of DWI arrests in a county for the years 1994-1998, where 1 represents 1994, 2 represents 1995, and so on. $$\begin{array} { c | c } \text { Year, x } & \text { DWI arrests, T } \\\hline 1994,1 & 4358.68 \\1995,2 & 4429.92 \\1996,3 & 4471.5 \\1997,4 & 4508 \\1998,5 & 4560\end{array}$$ This data can be approximated using the third-degree polynomial
$$T ( x ) = - 0.57 x ^ { 3 } + 0.59 x ^ { 2 } + 63.46 x + 4295.2$$
Use this function to predict the number of DWI arrests in 2007. Round to the nearest whole number.

• A) 3735
• B) 3745
• C) \(- 556\)
• D) 2847

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The process of creating, refining, and articulating new ideas, theories, or principles in a field of study.

Open Coding

A preliminary step in qualitative data analysis where data are categorized based on properties and dimensions that emerge from the data itself.

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The process of categorizing data based on themes, concepts, or variables, often used in qualitative research.

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