This Graph is a function because for every input there is an output. This is also a function because it passes the vertical line test. In this graph it describes how many people are positive for the Influenza Virus. The input is the week, and the output is the amount of people infected. This is not a linear function because the rate of change is not constant. This is also not a mathamaticle model because you cant predict how many people will get the influenza virus.
Part B:
http://www.payscale.com/data-packages/most-and-least-meaningful-jobs/interactive-chart
This graph shows the highest page jobs across the US. This is not a function because for every input there are multiple outputs. And there are many out puts per input.
I definitely agree that you can't find any real way to scientifically predict how many people will get the influenza flu virus, however I think that this particular graph would actually not be a mathematical model for other reasons. I think it's not a mathematical model because the input (the week) and the output (the amount of people infected) aren't directly dependent upon each other. Cool graph though!
ReplyDeleteI totally agree with Emma rose. Mathematical models usually correlate with each other and need to have one variable dependent with to the other.
DeleteThis is really interesting, and I understand what you meant about not being able to predict the flu as why it isn't a mathematical model because the x and y components don't directly relate to one another.
ReplyDeletedillon,
ReplyDeletei really like the way the second graph is displayed. it makes it easy to see why it is not a function.
your first example is also good, however, could have use more details in your explanations or ROC and maybe showed some calculations to further confirm that it isn't linear. unfortunately, you also forgot to use function notation when explaining the part of about the math model. other than that, good job.
prof little