https://www.google.com/finance?q=INDEXNASDAQ:.IXIC&sa=X&ei=UsXZUqLIMLLFsATSsoGgAg&ved=0CCoQ2AEwAA
This graph shows the relationships between rates of NASDAQ exchange and time from January 2013 to today, January 2014. The outputs are the amount of dollars and inputs are dates. From the graph, there is a tendency that today's average market rates seems like increased. The average of the market rates is ((4214-3012) /(2014-2013) = 1202) 1202 dollars per year, and it increases. It passes VTL, therefore it is a function. However, if you look at carefully, there are many changes between days. Therefore, this is not a mathematical model since market rates will change day by day depends on economical situation.
Part B:
Nonfunctional means that when you look at some amount of data or line graph and if there are the same amount of numbers or the same points on the vertical line, it considers as a nonfunctional.
http://ahundredyearsago.com/2012/02/06/average-height-for-males-and-females-in-1912-and-2012/
This article is about average height and age of year of male and female. According to this line graph, the outputs are heights and inputs are age of year. From the graph it can be recognized that their heights stop at a certain age which is 21. Based on the nonfunction definition, the height stops at age of 21, therefore it doesn't grow constantly. Therefore, this is an example of the nonfunction.
I really liked how you chose the stock market as an example for your non functional graph, since this situation and case of a stock market makes it easier for us to understand why this graph is not a function.
ReplyDeletehmm...not a function? fumika's first example IS a function.
Deletefumika,
ReplyDeleteyour first example is perfect! your reasoning for why the example is a function but not a mathematical model are explain in good detail using the correct mathematical language.
your second example IS actually an example of two separate functions. in the first part of your explanation, you mention that the relationships are line graphs, which almost implies that they are functions because they are going to pass the vertical line test. additionally, there are no repeated input values, so again they meet the criteria for a function.
please make sure that you understand when a relationship is NOT a function...repeated input values and not passing the vertical line test.
professor little