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Piecewise function

  1. Oct 9, 2006 #1

    Here is a piecewise function that I came over, and it does not seem to have a definite answer, and so I beg of your recondite knowledge to guide me on this one:

    f(x) =
    ax^2 + bx + c if -oo < x < 0
    d if x = 0
    [(x^2)(sin(1/x))]-2 if 0 < x < oo

    Find all values of the constants a, b, c and d that make the function f continuous on -oo < x < oo.

    I think a, b and c are all reals, and d is -2, but I am not sure....
    Last edited: Oct 9, 2006
  2. jcsd
  3. Oct 9, 2006 #2


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    Science Advisor
    Gold Member

    For continuity you need c=d=-2. a and b could be anything.
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