Real Madrid's goals for 2013-2014 in the last 6 months:
August (1) 2 Golas
September (2) 5 Goals
October (3) 4 Goals
November (4) 4 Goals
December (5) 2 Goals
January (6) 3 Goals
Every input has exact one output, and that's a function. It's not a linear functions because the rate of change is different and not the same.
(5 - 2) / (9 - 8) = 3
(4 - 5) / (10 - 9) = -1
* The rate of change is not the same then its not liner function.
I don't think it's a mathematical function because the team performance is not depending on the time of the year. Real Madrid like any team will always try to score more goals no matter what time of the year.
Part B:
If the input doesn't have one exact output we can say this relationship is not function. Relationship is function when every input has one exact output. Example for a relationship is not a function:
It's not a function because 5 in X has 3 different values in Y, and (4,3) in X has no value in Y.
http://espnfc.com/team/stats/_/id/86/league/esp.1/real-madrid?cc=4716
feras,
ReplyDeleteyour first example is perfect! nice job of finding of topic of interest to you and explaining its mathematical applications.
your second example does represent a relationship that is not a function, however, it has no real-world application and that was kind of the point of this activity.
professor little