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Math Help - graphing based on derivatives

  1. #1
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    graphing based on derivatives

    Hello, I am trying to graph the function that satisfies the following conditions:

    f(1)=0
    f(-1) = 4
    f(-1) = 0
    f(1) does not exist
    f'(x) < 0 if |x| <1
    f(x) > 0 if |x| > 1
    f(x) < 0 if x does not equal 1

    On the attached image, I have made an attempt but I dont think I am correct. Can someone please help show me where I have gone wrong.
    Attached Thumbnails Attached Thumbnails graphing based on derivatives-graph.jpg  
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  2. #2
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    Re: graphing based on derivatives

    Quote Originally Posted by fran1942 View Post
    Hello, I am trying to graph the function that satisfies the following conditions:

    f(1)=0
    f(-1) = 4
    f(-1) = 0
    f(1) does not exist
    f'(x) < 0 if |x| <1
    f(x) > 0 if |x| > 1
    f(x) < 0 if x does not equal 1

    On the attached image, I have made an attempt but I dont think I am correct. Can someone please help show me where I have gone wrong.
    my attempt ...
    Attached Thumbnails Attached Thumbnails graphing based on derivatives-funcplot.jpg  
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