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Homework Help: The graph of the function, given one value and the limit

  1. Feb 3, 2012 #1
    1. The problem statement, all variables and given/known data
    Sketch a graph of a function that satisfies the stated conditions:
    lim f(x) [as x approaches 2) = 3 and f(2) = 4.

    2. Relevant equations

    3. The attempt at a solution
    I know that the graph looks like an absolute value function (because the professor told me), but I'm really confused when I draw it out. As x approaches 2, the limit is 3. To me, this meant that the vertex of the graph is the coordinate (2,3) since 3 was the limit. However, when x=2, y=4, and the points can't coexist on this graph. What am I figuring/looking at wrong?
  2. jcsd
  3. Feb 4, 2012 #2


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    Staff Emeritus
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    If this is the problem as given, it has nothing to do with an absolute value function.

    It's a graph with a "hole" in it.
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