What's my function?
Part A
1. Find an online periodical
(newspaper, journal, magazine, etc), not a math periodical, economics is fine,
however.I chose to cover Derek Jeter's number of hits per year throughout his baseball career.
http://www.baseball-reference.com/players/j/jeterde01.shtml?redir
http://www.baseball-reference.com/players/j/jeterde01.shtml?redir
2. Recall the criteria for determining
relationships that are functions.
For a relationship to be a function, each one of its inputs must pair with one other output.
3. Search the periodical for a
relationship that represents a function (in graph, table, or formula format).The relationship is represented through a graph. The graph demonstrates, amongst other things, the amount of hits Derek Jeter got each year. It also shows the total amount of hits in his career and the average hits he got per season. (Hits are seen at the right part of the graph, denominated as H)
4. Explain in words the meaning of
this relationship.What this relationship represents is the amount of hits Derek Jeter got per year throughout his MLB Career.
5. Determine whether the function is
a linear function. The function is not a linear function. The input has a constant rate of change but the output does not.
6. If the function is linear, explain in detail how you
know the function is linear (be sure to refer to the average rate of change It is not linear.
7. If the function is not linear,
explain in detail how you know it is not linear (be sure to refer to the
average rate of change).The function is not linear because although the input does have an constant average rate of change, the output does not have one.
8.
Determine whether the function is a mathematical model
(be sure to use function notation.
It is not a mathematical model because the amount of hits is not dependent on the year
Part B
1. Recall the criteria determining
relationships that are not functions.
The criteria needed for a relationship to not be a function is that there is more than one output per input, another way to determine if a relationship is a function or not is to check if it passes the vertical line test for functions.
2. Find an online periodical with a
relationship that is not a function.
http://ourfiniteworld.com/2012/03/23/why-us-natural-gas-prices-are-so-low-are-changes-needed/
This chart represents different outputs (prices) within the same inputs (months of the year).
http://ourfiniteworld.com/2012/03/23/why-us-natural-gas-prices-are-so-low-are-changes-needed/
This chart represents different outputs (prices) within the same inputs (months of the year).
3. Explain in words the meaning of
this relationship.
The chart demonstrates the fluctuations in prices of gas within different months and years of the US, Japan, and Europe.
The chart demonstrates the fluctuations in prices of gas within different months and years of the US, Japan, and Europe.
4. Explain in detail how you know the
relationship is not a function.
The relationship is not a function because it has differing outputs for the same inputs.
The relationship is not a function because it has differing outputs for the same inputs.
carlos,
ReplyDeletei like your first example and your explanations are clear until the part about linearity. it would have been good to see some ROC calculations to confirm your explanation, also you forgot to use function notation when explaining about the mathematical model part. but other than that, good job.
your second example does not qualify as a non function, as it represents many relationships that are each separate functions.
professor little