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Homework Help: Graphing a piecewise function with multiple functions

  1. Feb 3, 2012 #1
    1. The problem statement, all variables and given/known data

    Suppose f(x) is a piecewise function defined as follows

    f(x) = 2x^2+2 ---- > x < 1
    = 2x^2 - 3x ----- > 1 ≤ x ≤ 2
    = 2 - (6/x) ----- > x > 2
    Graph f(x) for 0 ≤ x ≤ 3Find the left and right hand limits of f(x) as x approaches 1 and as x approaches 2

    2. Relevant equations

    3. The attempt at a solution
    I don't know how to go about graphing this piece wise graph. Can I plug in any number that satisfies the inequality and then graph the x and y values for each equation, and then connect the coordinates? That doesn't seem right, because I need the same x value for each function, but that doesn't seem possible for the inequalities. What numbers can I plug in?
  2. jcsd
  3. Feb 3, 2012 #2
    Just take each peice at a time..

    For the first when, whenever x > 1, graph the graph 2x^2+2
    Next, between 1 and 2, graph 2x^2-3x
    And so on..
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