# Ron Larson - Calculus 11th Edition Chp 3.3 Increasing and decreasing functio

Ron Larson - Calculus 11th Edition
Chp 3.3 Increasing and decreasing functions and the first derivative test.
Please show work and explain steps, thank you.
Modeling Data. The end-of-year assets of the Medicare Hospital Insurance Trust Fund (in billions of dollars) for the years 2006 through 2014 are shown.
2006: 305.4 2007: 326.0 2008: 321.3
2009: 304.2 2010: 271.9 2011: 244.2
2012: 220.4 2013: 205.4 2014: 197.3
(Source: U.S. Centers for Medicare and Medicaid Services)
(b) Use a graphing utility to plot the data and graph the model.

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Charles Clute
Given
Modeling Data. The end-of-year assets of the Medicare Hospital Insurance Trust Fund (in billions of dollars) for the years 2006 through 2014 are shown.
2006: 305.4 2007: 326.0 2008: 321.3
2009: 304.2 2010: 271.9 2011: 244.2
2012: 220.4 2013: 205.4 2014: 197.3
(Source: U.S. Centers for Medicare and Medicaid Services)
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Melinda Olson

Part b
Plotting using the given data in the excel as shown below:
Considering 2006 as x = 0 then
$\begin{array}{|c|c|}\hline & x & y \\ \hline2006& & 305.4\\ \hline 2007 & & 326 \\ \hline 2008 & & 321.4 \\ \hline 2009 & & 304.2 \\ \hline 2010 & & 271.9 \\ \hline 2011 & & 244.2 \\ \hline 2012 & & 220.4 \\ \hline 2013 & & 205.4 \\ \hline 2014 & & 197.3 \\ \hline \end{array}$