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Homework Help: Range of graphs

  1. Jan 22, 2012 #1
    1. The problem statement, all variables and given/known data
    f(x) = ex2
    find the range of f(x)
    How do I do this - I don't know how to draw this graph?

    g(x) = x2 + 3ex2
    Again, how is this done without drawing the graph?

    2. Relevant equations

    3. The attempt at a solution
    so for the first graph, for example, I differentiated it
    dy/dx for f(x) = 2xex2
    Giving a min. point of 0
    BUT THE ANSWER IS f(x) ≥1
    Why does the min point method not work?
  2. jcsd
  3. Jan 22, 2012 #2
    oh of course, I found the x-value that gives the min. point
    so I sub this into the original equation
    never mind :)
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