What’s Your Function?
Part A
1.
I found an article about the
revenue of Kellogg Company.
2.
The relationship for function
is one input exactly matches with one output.
3.
Data Above
4.
As the year increases, the
revenue of Kellogg Company is not always increases.
5.
It’s not a linear function.
6.
This is not a linear function.
7.
This graph is not a linear
function because it doesn’t have the constant rate of change. The rate of
change =(Y2-Y1)/(X2-X1), so use (13485.8-14080.8)/(2001-2000)=-595. Then, I use
(13567.5-11794.1)/(2003-2002)=1773.4 In this case, the rate of change is
different, so it’s not a linear function.
8.
It’s not a mathematical model
because the input doesn’t depend on output.
Part B
Part B:
For Part B, I found a chart of Harvard University acceptance-The SAT and ACT scores.
http:www.http://blog.sina.com.cn/s/blog_5f2bdc0e01019z7x.html
1. It's not a function because one input is not exactly matches with one output.
2. Data above
3.From the data above, there are more inputs than outputs, because students have the same SAT and
ACT scores.
4. This is not a function because there are lots of inputs more than outputs.
What if there was the same revenue for two different years? Would your definition of a function still be valid?
ReplyDeleteI enjoyed that you explained your response to question 7 with specific numbers from your example.
ReplyDeleteI would not have thought to use a scatterplot. Good find Emma! And very clear and concise information.
ReplyDeleteI would not have thought to use a scatterplot. Good find Emma! And very clear and concise information.
ReplyDeleteemma,
ReplyDeletethe definition for a function is that one output is paired with exactly one input, not visa versa. your explanations are good, but you forgot to express your first relationship using function notation.
your second example is clearly an example of a non function. good job. since the post was two days late, it will lose two points.
professor little