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Math Help - Advanced Graph

  1. #1
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    Unhappy Advanced Graph



    I'm having trouble coming up with an equation to graph this. I'm trying to create a visual representation of a product for an Excel graph or a calculator but can't figure out how to go about it.

    This example (although poorly drawn) is similar to what I'm looking for. The values in this would be:
    X= 30
    Y= 700,000
    Z= 31

    The reason for having 3 variables is Z is where I need the curve to start, Y is the max value for the curve and X is how long the curve will last until coming back down to the original value. Another variable I didn't think of was I need it to be able to start at a value of 50,000 and not 0.

    I'm not even sure where to start... any help would be appreciated. Thanks!
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  2. #2
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    Quote Originally Posted by MatthewJGale View Post

    I'm having trouble coming up with an equation to graph this. I'm trying to create a visual representation of a product for an Excel graph or a calculator but can't figure out how to go about it.

    This example (although poorly drawn) is similar to what I'm looking for. The values in this would be:
    X= 30
    Y= 700,000
    Z= 31

    The reason for having 3 variables is Z is where I need the curve to start, Y is the max value for the curve and X is how long the curve will last until coming back down to the original value. Another variable I didn't think of was I need it to be able to start at a value of 50,000 and not 0.

    I'm not even sure where to start... any help would be appreciated. Thanks!
    One possibility could be to define the function piecewise:

    f(x)=\left\{\begin{array}{lcr}50 & , & x<31 \\-\frac{26}9 (x-46)^2+700 &, &  31 \leq x <61 \\ 50 &, &  x \geq 61\end{array} \right.

    I've attached the graph of f. Note that the axes have different scales!
    Attached Thumbnails Attached Thumbnails Advanced Graph-stckweise_parabel.jpg  
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  3. #3
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    Jun 2008
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    This is very helpful and a good direction to start.

    Does anyone know how this would be used to graph in excel?
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