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Graphs, equation and functions.

  1. Oct 10, 2015 #1
    Is it correct to say that if a relation between a few numbers is represented on a graph and it comes out to be a curve than it can be written in the form of an equation?
     
  2. jcsd
  3. Oct 10, 2015 #2
    First of all, I don't think it needs to be a curve, that is irrelevant.

    Secondly, you can always fit an equation to a set number of points. Now whether this equation describes the relationship accurately or not is another question.
     
  4. Oct 10, 2015 #3
    I mean to say that if it happens to be a curve or hyperbola than can it be represented in the form of an equation
     
  5. Oct 10, 2015 #4
    I think it's irrelevant. You can always come up with an equation that will go through all your data points.
     
  6. Oct 10, 2015 #5
    OK, and if it is an equation can it be a function
     
  7. Oct 10, 2015 #6

    Mark44

    Staff: Mentor

    No. Many equations do not represent functions. For example, ##x^2 + y^2 = 1## is the equation of a circle. This equation does not represent a function.
     
  8. Oct 10, 2015 #7
    How can we determine that an equation is a function or not
     
  9. Oct 10, 2015 #8

    HallsofIvy

    User Avatar
    Staff Emeritus
    Science Advisor

    Do you know the definition of "function"?
     
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