1. Limited time only! Sign up for a free 30min personal tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

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


    User Avatar
    Staff Emeritus
    Science Advisor
    Homework Helper
    Gold Member

    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.
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook