2. If a relationship passes the vertical line test, it is a function. There will be one output for each input.
3. Both relationships, the "equilibrium" household formation and household formation, are functions.
both lines show the relationships between household formation and years.
Equilibrium household measures that home supply always home demand. so that means that if people are buying homes places like Ikea and best buy will be getting more business therefore aiding the economy in a positive way.
Household formation is strictly focused on households being formed excluding buying furniture and appliances for the house.
4. This graph shows that less household were being created in 2006 due to the recession, student debt, and unemployment rates.
5. This function is not a linear function due to inconsistent increases and decreases and does not pass the vertical line test.
6. N/A
7. The Rate of change is not consistent, there is no consistency to its changes.
8. This is not a mathematical model because household formation is not dependent on years.
part B.
1. If there are more than one input per input then the relationship is not a function
2. http://www.huffingtonpost.com/jared-bernstein/two-scatterplots-regardin_b_3912735.html
3. one percent increase in jobs would be expected to increase the typical state's labor force rate by about one fifth of a percentage point
4. This is not a function because there are more than one output for the input, because the graph does not pass the vertical line test.
I do not think that your examples for a non function are correct. If you were to graph the top of each point in reference to each year, the one would be increasing concave up and the other would be a straight line.
ReplyDeleteWhat is the difference between equilibrium household and household? Can you define them?
ReplyDeletegood question! i'd like to know the answer, as well! paul?? thoughts??
DeleteHey Paul! Your answer within Section A, Number 5 is a little unclear. While yes, these reasons are visible in your graph, perhaps a more concrete definition supplied in class would have allowed your answer to resonate. Information such as, more than one output per input, or it does not pass the vertical line test, would have improved your answer substantially. That said, I was interested to see you selected this graph, and it's shocking to see how drastically the housing market collapsed in 2006 compared to just years prior.
ReplyDeleteHey Paul, I would recommend specifically talking about the average rate of change when referring to the function being linear. While saying that it has "inconsistent increases and decreases" is essentially the same thing, I know that Professor Little states that a.r.c should be directly mentioned. It will also help to mathematically prove that it truly is not a linear function.
ReplyDeletepaul,
ReplyDeleteyou chose a good example for your post, and most of your explanations were accurate. it would have been good to go into more detail (such as with calculations) for explaining linearity and also when explaining the math model part, you forgot to use function notation. other than that, a good job.
your second graph is perfect and well explained!
prof little