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Homework Help: Limits of polynomial functinos

  1. Oct 23, 2006 #1
    Invent a function and sketch its graph to satisfy each situation

    lim_x-0+ f(x)=3 and lim_x-0- f(x)=-2

    I can't figure out an equation for that
     
  2. jcsd
  3. Oct 23, 2006 #2

    Hootenanny

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    Think about where your asymptotes are going to be.
     
  4. Oct 23, 2006 #3

    HallsofIvy

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    Do you mean
    [tex]\lim_{x\rightarrow 0^+} f(x)= 3[/tex]
    and
    [tex]\lim_{x\rightarrow 0^-} f(x)= -2[/tex]
    ?

    There are an infinite number of such functions- that's why they say "invent a function". The simplest example is "piecewise constant", a constant for x> 0, another for x< 0.
     
  5. Oct 23, 2006 #4
    yes that is what i mean but somethign like [tex]f(x)=x+3[/tex] wouldn't work
     
  6. Oct 24, 2006 #5

    HallsofIvy

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    I said "piecewise constant"- one constant value for x< 0, another for x> 0. What do you think those values should be?
     
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