Tyler Rose
Professor Little
MATH-160-002
8 February 2015
"Function Fun"
Part
a:
1. Find an online periodical
(newspaper, journal, magazine, etc), not a math periodical, economics is fine,
however.
-
AAPL:
Why Apple Stock is Ready for a Breakout by InvestorPlace Media
This article is from the NASDAQ
describes Apple Inc.’s Stock and goes off to suggest reasons for future
growth.
2. Recall the criteria for determining
relationships that are functions.
-In order to determine weather a
relation is a function, there must be one input for one output. One could also do the Vertical Line
Test.
3. Search the periodical for a
relationship that represents a function (in graph, table, or formula format).
(Click on Link if Graphs do not show)
4. Explain in words the meaning of
this relationship.
-This graph represents a function
because there is only one input and one output for each line on the graph.
5. Determine whether the function is
a linear function.
-The function is not linear
because it does not have a constant rate of change.
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).
-N/A
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 there is not one constant average rate of change, rather many different
rates of change, thus making it not a linear function.
8. Determine whether the function is
a mathematical model (be sure to use function notation.
-The function is not a mathematical model because time is
independent of the “x” axis value.
Part
b:
1. Recall the criteria determining
relationships that are not functions.
-The criteria determining relationships
that are not functions is looking to see weather or not a graph has more than
one output for each input.
2. Find an online periodical with a
relationship that is not a function.
-http://collegeapps.about.com/od/GPA-SAT-ACT-Graphs/ss/american-university-admission-gpa-sat-act.htm
-“American University GPA, SAT,
and ACT Data” by Allen Grove
The article is from collegeapps,
which helps students through the college admissions process. In this case, I picked to use the case of
American University. The article does
not show a function because it has more than one output for every input.
3. Explain in words the meaning of
this relationship.
-The relationship is between
people’s GPA and SAT/ACT scores in accordance to people who apply to AU. This is not a function because everyone has a
unique GPA and SAT/ACT score, thus causing overlap on outputs for the same
inputs.
4. Explain in detail how you know the
relationship is not a function.
(Click on Link if Graphs do not show)
I know that this relationship is not a function because everyone
has a unique GPA and SAT/ACT score, thus causing overlap on outputs for the
same inputs.
Part
c (Due on February 12, 2015):
1. After completing your blog entry, thoughtfully
and critically comment (praise and/or critique) on the posts of members in your
blog group.
✓✓
I like the use of the SAT and GPA/ACT score example, especially as you chose AU as it was interesting to look at.
ReplyDeletetyler,
ReplyDeleteyou did a nice job on this post and chose very interesting articles to discuss. your explanation for your first example is mostly correct. please make a note of the fact that the definition for a function is where one output is paired with exactly one input, not visa versa, as you mentioned twice in this post. additionally, you forgot to express the relationship using function notation as the blog instructions ask you to.
your second example is well done and well explained and clearly an example of a non function. other than the above errors, good job. =]
professor little