# Algebra 1 Questions About A Graph

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• Sep 19th 2013, 06:00 PM
nycmath
Algebra 1 Questions About A Graph
Hello. Concerning this attachment, I am concerned about part c and d. I would someone to help me answer this question. Please, see attachment. Thanks again.
• Sep 19th 2013, 06:19 PM
datpinecone
Re: Algebra 1 Questions About A Graph
If you graph out the points you find that the data is exponential growth, so in other words, the model starts linear, but then it takes a big turn up, increasing rapidly. As long as the line is going up and down, it should be smooth.
If the curve is exponential, then the data can't be shown as a linear model, instead it is another type of model.
• Sep 19th 2013, 06:37 PM
votan
Re: Algebra 1 Questions About A Graph
The data are a funtion of the form p(t). It starts linear then it levels up bending downard slowly with slope approching 0.
Yes, the data can be represented by a smooth curve.
No, the graph cannot be modeled by a straight line. It has an asymptotic trend as t increases.
• Sep 20th 2013, 12:56 PM
nycmath
Re: Algebra 1 Questions About A Graph
Another question is what should I label as x-axis and y-axis on this graph to be made?

In other words, do I let the x-axis represent time (in seconds) and the y-axis represent the total pirouettes or vice-versa?
• Sep 20th 2013, 01:30 PM
votan
Re: Algebra 1 Questions About A Graph
Time is the independent variable.
• Sep 20th 2013, 03:51 PM
nycmath
Re: Algebra 1 Questions About A Graph
I plotted every point and my picture is that of a linear function. Are you sure that the given points represent a continuous smooth curve? Thanks again for your time and reply. Can you plot the given points and show me a picture of what this model looks like on the xy- plane? I can really use your help.
• Sep 20th 2013, 04:43 PM
votan
Re: Algebra 1 Questions About A Graph
the time increment is 10 s, the pirouettes increment is 7 up to 40 s, then it starts to decrease and the last two points the increment is only one unit. Here is the graph. This graph cannot be modeled correctly by a straight line.Attachment 29213
• Sep 20th 2013, 04:47 PM
nycmath
Re: Algebra 1 Questions About A Graph
Great. I thought this was a function of the form f(x) = e^x.Is it exponential in growth? Is it more like a parabola? Thanks again.
• Sep 20th 2013, 05:05 PM
votan
Re: Algebra 1 Questions About A Graph
The limited data we have is not sufficient to determine what type of function that would be. My wild guess it would be something of the form a(b + e^-x). It cannot be a branch of a prabola because y does not vary as x^2
• Sep 20th 2013, 05:17 PM
nycmath
Re: Algebra 1 Questions About A Graph
Thank you so much. I plan to visit this site more often to increase my math skills.
• Sep 20th 2013, 05:36 PM
topsquark
Re: Algebra 1 Questions About A Graph
I tried a few fit functions and the best I got was actually the parabola. (The red curve.) Since it was a question I have also included the linear fit (in blue). You can easily see that the linear fit just doesn't work right. The only thing I'll say about the exponential fit is that it was really really ugly and did a lousy job. (I thought it would work, too.) See image below.

-Dan
• Sep 20th 2013, 06:08 PM
votan
Re: Algebra 1 Questions About A Graph
You are right, a branch of a parabola. I haven't attemted best fit. I was absent minded about it.
• Sep 20th 2013, 06:29 PM
nycmath
Re: Algebra 1 Questions About A Graph
Thank you very much everyone.
• Sep 20th 2013, 06:42 PM
nycmath
Re: Algebra 1 Questions About A Graph
Votan,
I posted another question about parameter changes and did not realize that my name is on the sheet. How can I delete the uploaded picture?
• Sep 20th 2013, 08:02 PM
votan
Re: Algebra 1 Questions About A Graph
I realized that. Go to the bottom of the page and use the contact us link. The operator could delete it.
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