Part
A
The above link is to a very thorough description of
all the statistics. The link below is a concise summary of the study.
And below is a link to the national pregnancy
statistics I used to compliment the study:
http://www.hhs.gov/ash/oah/adolescent-health-topics/reproductive-health/teen-pregnancy/trends.html#.VDR4QYCwLuU
2. A function is a type of relation where each output
has exactly one input.
3. US National Pregnancy Rates in Teens 15-19
|
2008
|
41.5
|
|
2009
|
37.9
|
|
2010
|
34.3
|
|
2011
|
31.3
|
4. The relationship shows declining pregnancy rates in
teenagers from 2008 to 2011.
5. No, the function is not linear.
6. I know the function is not linear because when you
take the rate of change, or slope, it is not the same for each set of data.
From 2008 to 2009, the ARC is -3.6. However, from 2010 to 2011, the ARC is -3.
7. The function is not a mathematical model because the
pregnancy rate is not dependent on the year. Because of this, you cannot come
up with a function notation equation ( f(x)= ). There is no way to predict the
pregnancy rate in a given year.
Part
B
1. A relationship is not a function when one output has
multiple inputs.
The link above is for a report on the decline of
China’s economy.
3. I’m not too well read on economic reports, but there
are three functions to look at: property sales, investment, and industrial
production. They’re graphed over a period of time (x axis), in changing
percentages from 2009 to 2014. So this shows the relationship between time and
the percentage of change in the Chinese economy.
4. This relationship is not a function because it would
pass the vertical line test. There is not enough information to make a table,
because we don’t have exact coordinates, but just looking at it you can see
that there are multiple outputs for the different years.
carolyn,
ReplyDeletevery interesting example for part a. i'm glad teen pregnancy seems to be declining. your explanations were good for part a, except, the part about not being able to use function notation. if the relationship is a function, you can use function notation. whether or not it is a mathematical model or not has nothing to do with using function notation. nice job of calculating the ROC to explain linearity!
your second example shows several relationships that are all separate functions, so it does not qualify as a NON function.
professor little