Part a:
1. I found an article on the Website Discover Magazine.
2. Relationships that are functions have one output for every input.
3. blogs.discovermagazine.com/neuroskeptic/2012/09/30/science-growing-too-fast/#.VDSGS1ZH1SU
4. The relationship represents a function because for each year there is one output of numbers of papers published through the years 1980-2011.
5. The function is not linear.
6. N/A
7. The function is not linear because the average rate of change is not constant and the graph did not increase in the same intervals.
8. The function is a mathematical model because the output which is, y, the number of english language papers published per year is affected by the input, x, is year which that many papers were published. Some years there may be more news that need to be published than others.
f(year)= number of papers published
Part b:
1. A relationship is not a function when the graph has more than one output (Dependent Variable) for a input (Independent Variable). This can be tested by doing the vertical line test on the graph.
2. http://www.washingtonpost.com/blogs/wonkblog/wp/2013/07/09/you-cant-deny-global-warming-after-seeing-this-graph/
-The graph in the article represents the increase in global temperatures(C) over the past 129 years.
3. The graph represents a certain increase in the temperature (C) for every year, starting from 1881 to 2010.
4. This relationship is not a function because for one Input which is the year, there is more than one output for the year of 1941/1950 and 1971/1980 being an increase in global temperature for both of 13.95 degrees celsius.
The line graph you found was good to prove that your part a function was not linear since the graph isn't a straight line, it somewhat curves.
ReplyDeleteNice graphs and explanations. Good job using ARC to back up your point
ReplyDeleteGreat job using graphs. Your blog is very organized. Your examples are interesting. Good work! :D
ReplyDeleteneda,
ReplyDeleteyour first example is done very well and explained very well. great job of using function notation! it would have been nice to see ROC calculations to confirm your explanation about linearity, however, but other than that, nice job.
your second example does not qualify as a non function.it passes the vertical line test. one output can be paired with two different inputs. it is the reverse that constitutes a non function.
professor little