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Homework Help: Sketch this function, help?

  1. Apr 25, 2014 #1
    1. The problem statement, all variables and given/known data
    Consider the function ƒ:-k,k→R, where ƒ(x) = 1/√(k2-x2), where k is a positive constant.
    (i) Sketch the graph of y = ƒ(x)
    (ii) What is the domain of the function?

    2. Relevant equations
    ƒ(x) = 1/√(k2-x2)

    3. The attempt at a solution
    I don't understand how I am supposed to solve this. Couldn't k equal anything? Why couldn't it be 1 or 2? This makes no sense.
    Help is appreciated. Thanks.
  2. jcsd
  3. Apr 25, 2014 #2


    Staff: Mentor

    k is an unspecified constant - a parameter. k could be 1 or 2, but you shouldn't assume that it is any specific value.

    Can you sketch the graph of y = ##\sqrt{k^2 - x^2}##? If you can get this graph, then the graph of f is just the reciprocal.
  4. Apr 25, 2014 #3


    User Avatar
    Science Advisor
    Homework Helper
    Gold Member

    Just draw an x axis, mark some point on the positive side, and label it k. Then draw your graph.
  5. Apr 25, 2014 #4


    Staff: Mentor

    noahsdev, after you label some point k on the positive side, label another as -k on the negative side. Then draw your graph.
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