Blog Post 2

Part A

1. http://www.theatlantic.com/business/archive/2012/09/the-graph-that-should-accompany-every-article-about-millennials-and-economics/262649/

2. A graph is a function if it passes the vertical line test and if there is only one input per output.

3. 

4. This graph shows the relationship between time passing and the amount of money that college graduates earn annually.

5. This is not a linear function because there is no constant average rate of change.

6. N/A

7. There is no constant rate of change for the whole graph; therefore this is not a linear function. For a function to be linear it has to have a constant rate of change. To find ROC, choose two points on graph then find the slope using the formula y2-y1/x2-x1. This will give you the slope between these two points, which is synonymous with the ROC. Do this between all points to ensure that the ROC is constant for the whole graph. If the ROC is constant for the whole graph, then the function is linear.

8. This function is not a mathematical model because the output is not a function of the input, nor is the output dependent on the year. 

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Part B

1.     A relationship is not a function when there is more than one output per input or the graph of the function does not pass the vertical line test.

2.     http://www.huffingtonpost.com/jared-bernstein/two-scatterplots-regardin_b_3912735.html

 

3.     In this graph, labor force participation is a function of labor demand.

4.     This is not a function because there are more outputs than inputs, it does not pass the vertical line test, and it is a scatterplot.

 

3.     In this graph, labor force participation is represented in relation to labor demand. 

4.     This is not a function because there are more outputs than inputs, it does not pass the vertical line test, and it is a scatterplot.