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Plotting functions

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  1. Dec 30, 2015 #1
    if we draw a line parallel to the x- axis and passes through a point in the image and the graph intersects at one point is this a one to one function ?
     
  2. jcsd
  3. Dec 30, 2015 #2

    Samy_A

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    If this is true for all lines parallel to the x-axis, yes.
     
  4. Dec 30, 2015 #3
    what do you exactly mean by all lines ?
     
  5. Dec 30, 2015 #4

    Samy_A

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    All lines parallel to the x- axis.
     
  6. Dec 30, 2015 #5
    but then for each line parallel to the x axis for each input the output will be the same so how come it is one to one ?
     
  7. Dec 30, 2015 #6

    Samy_A

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    No, a line parallel to the x-axis corresponds to a value of y.
    If such a line, corresponding to the specific value ##y_0##, intersects the graph of the function only once, it means that the function will have the value ##y_0## only once (for the ##x_0## corresponding to the intersection between the graph of the function and the line). If that is the case for all lines parallel to the x-axis, the function will be one to one.

    Maybe you can draw it, that will make it clear I think.
     
  8. Dec 30, 2015 #7
    thanks , got it now
     
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