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Use the Leading Coefficient Test to Determine the End Behavior

Question 195

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.  Year, x  DWI arrests, T 1994,14358.681995,24429.921996,34471.51997,445081998,54560\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) =0.57x3+0.59x2+63.46x+4295.2T ( 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- 556
D) 2847

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