What type of function does this data appear to follow?
Please enter some estimated points from the graph into Desmos.com or Geogbra.org to determine an estimated mathematical model for this function.
What is the domain of this function?
What is the range of this function?
From an article on Apple itunes sales at:
http://www.geek.com/apple/itunes-in-numbers-no-one-can-beat-the-superstore-1108472/
The graph is a classic example of exponential growth, but it has a human element involved after 2013. Please read the following article and comment on the future shape of your mathematical model:
http://www.billboard.com/biz/articles/news/digital-and-mobile/5855162/digital-music-sales-decrease-for-first-time-in-2013
How does this affect your predictions of domain and range of the function? Is there a problem with trying to extend a set of data points to continuous functions? Why or why not?
- exponential
Please enter some estimated points from the graph into Desmos.com or Geogbra.org to determine an estimated mathematical model for this function.
- The equation of the graph is y=1.4^(x-5.3)
- Some of the estimated points from the graph are (2,.25), (4,75), (5,1), (5.8,1.3), (7.5,2), (9,3)
What is the domain of this function?
- The domain of the function is (0,infinity) because you are narrowing the choices.
What is the range of this function?
- The range of the function is anything greater than zero. (0,infinity)
From an article on Apple itunes sales at:
http://www.geek.com/apple/itunes-in-numbers-no-one-can-beat-the-superstore-1108472/
The graph is a classic example of exponential growth, but it has a human element involved after 2013. Please read the following article and comment on the future shape of your mathematical model:
- The graph will continue to grow. Every year, the company gets bigger,sells more, and gains more profit.
http://www.billboard.com/biz/articles/news/digital-and-mobile/5855162/digital-music-sales-decrease-for-first-time-in-2013
How does this affect your predictions of domain and range of the function? Is there a problem with trying to extend a set of data points to continuous functions? Why or why not?
- The domain and range will shrink. No there is not a problem with trying to extend a set of data points. You have the information that you need for how much the company has shrank and grown. The equation will change but it is still possible to extend a set of data points.