Part
a:
1.
|
X (years)
|
Y (net income)
|
|
2004
|
389
|
|
2005
|
494
|
|
2006
|
564
|
|
2007
|
673
|
|
2008
|
316
|
|
2009
|
392
|
|
2010
|
948
|
Data
can be found using the link: http://www.gurufocus.com/financials/SBUX
This
table shows the net income of Starbucks corporation over 6 years.
1. Recall the criteria for determining
relationships that are functions.
This is a function because each
value has exactly one output, and passes the vertical line test.
2. Search the periodical for a
relationship that represents a function (in graph, table, or formula format).
This table represents a function
because all values have exactly one output.
3. Explain in words the meaning of
this relationship.
Over the years, the graph shows
how the net income of Starbucks corporation increases and decreases over time.
4. Determine whether the function is
a linear function.
This function not a linear
function because values increase and decrease inconsistently over the years
making the graph more jagged.
5. 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).
The function is not linear.
6. 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 graph is not linear because
the rate of change in between points is not the same each time; therefore the
points cannot be connected by the rate of change.
7. Determine whether the function is
a mathematical model (be sure to use function notation.
The graph is not a mathematical model because values are not
dependent on one another.
Part
b:
1. Recall the criteria determining
relationships that are not functions.]
A relationship cannot be a
function if multiple outputs for one input.
2. Find an online periodical with a
relationship that is not a function.
http://www.erh.noaa.gov/
On this site, I compared the data
from March and April and the values have repeating outputs for one input.
3. Explain in words the meaning of
this relationship.
This data shows the average amount
of Snowfall in Dulles over time.
4. Explain in detail how you know the
relationship is not a function.
This relationship is not a function because it has repeating
output values, and does not pass the vertical line test.
maria
ReplyDeleteyour first example is perfect! you did a fabulous job of explaining the mathematical implications of the relationship!
in your second example, if you say that you compared the data for march and april, you essentially compared data for two separate relationships which are functions. you were correct in noting the criteria for not being a function, but this example won't meet that criteria.
professor little