This graph shows the percentage of the workforce that is unemployed in the United States and Michigan for several years.

A graph. Horizontal axis, year,  scale 2003 to 2015 by 1s. Vertical axis, percentage of workforce unemployment, 0 to 14, by 1s. A key shows a blue line represents Michigan data and a black line represents United States data. The black line passes through the points 2003 comma 6 comma  2004 comma 5.5, 2005 comma 5.1, 2006 comma 4.6, 2007 comma 4.6, 2008 comma 5.8, 2009 comma 9.3, 2010 comma 9.6, 2011 comma 8.9, 2012 comma 8.1, 2013 comma 7.4, 2014 comma 6.2, and 2015 comma 5.3. The blue line passes through the points 2003 comma 7.2, 2004 comma 7, 2005 comma 6.8, 2006 comma 7, 2007 comma 7, 2008 comma 8, 2009 comma 13.7, 2010 comma 12.6, 2011 comma 10.4, 2012 comma 9.1, 2013 comma 8.8, 2014 comma 7.2, and  2015 comma 5.4.

1. For the United States, what are the highest and lowest points on the graph? What do the points mean in the situation?
2. For Michigan, what are the highest and lowest points on the graph? What do the points mean in the situation?

1. Use technology to graph the function .
2. What are some points on the graph that you think are interesting? Explain your reasoning.

3. Examine the graph representing electrical voltage in a wire as a function of time. What interesting points do you see? Explain your reasoning.

   

   A graph, origin O. Horizontal axis, time, sconds, scale 0 to 10 by 1s. Vertical axis, voltage, volts, scale 0 to 4, by 1s. The graph is made up of 6 curves, joined together. A curve, opening up, from 0 comma 1 up to 2 comma 3. A horizontal line from 2 comma 3 to 3 comma 3. A line, slanting down and to the right, from 3 comma 3 to 5 comma 1. A horizontal line from 5 comma 1 to 8 comma 1. A curve, opening down, from 8 comma 1 to 9 comma 2. And, a straight line, slanting down and to the right, from 9 comma 2 to 10 comma 1.

4. Use the points you found to describe what is happening to the voltage within the wire.