What’s your function?
Part a
1.
I got my article from New York Times, Neil
Irwin, Job Growth Looks Great; Wage
Growth, Less So, The New York Times. 9 January 2015. Web. 11 February 2015.
As the title suggests, the article talks about the
growth in the number of jobs causing, indeed, the unemployment rate to fall.
However, that was not a good signal to the wages. In fact, the average hourly wage has fallen
despite the job growth.
2.
A function is a set of ordered pairs in which
each x-element has only ONE y-element associated with it. In other words, relations
are functions when they have a single output for one or multiple inputs. In
this case, the inputs are months and percentage change where each month is
associated with its own percentage change.
3.
4.
As we can see in this graph, there is a
percentage change in function of the years. We can clearly notice that we have
been given the changes during the period of each year, the reason why we see
fluctuations within a year. As of the time this snapshot was taken, the percent
change in average hourly wage was 1.7% compare to January 2014, which was
approximately around 2%. Comparing these two data, we know that the wages have
fallen around 0.3%.
5.
This function is not linear.
6.
Through the graph, we can clearly see that this
function is not linear. In fact, this means that the average of change is not
constant. For example, the average rate of change between January 2008 and
January 2010 was approximately [(3-1.8)/2 = 0.6] compare to the average rate of
change between January 2013 and January 2015 which was [(2.2-1.7)/2 = 0.25].
These two are different, therefore not constant.
7.
Since this function is not linear we cannot
write in the form of Y = aX + b where a and b are constants. I am not sure
about the notation for this function however since it is a percentage change
the rates were calculated beforehand and then plug in the graph or maybe this
graph has a direct relationship established by software.
Part B
1.
A relationship that is not a function is when a
single input has numerous outputs.
2.
I found my article on New York Times, which is
about mortgage subprime and low-income zip codes. (
3.
This article shows that the financial crisis was
partially caused by the numerous loans made to people living in low-income zip
codes which income are relatively low. In other words, they borrowed more than
they could afford.
4.
This relationship is not a function because
within a zip code can live multiple borrowers with different subprime. Therefore,
if we were to graph this we would have different vertical lines along a zip
code corresponding to different subprimes (an input with different outputs).
aissatou,
ReplyDeleteyour first example is well done and well explained. the only thing missing is to express the relationship using function notation such as f(x) = y.
for your second example, i definitely found it an interesting read, but a graph or table of some kind is needed to prove that there is a non function relationship, which i did not see.
additionally, since this post was two days late, it will lose two late points.
professor little