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Math Help - graphs about a function

  1. #1
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    graphs about a function

    Let g(x) be a function where g(0)=0, g(2)=0 and g'(4)=0. Which of the following is a possible graph of g(x)?
    Attached Thumbnails Attached Thumbnails graphs about a function-graphs-pic.png  
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  2. #2
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    Re: graphs about a function

    Tell us what you think the answer is, then someone will either confirm your answer or help you correct it.
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  3. #3
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    Re: graphs about a function

    Well, right away I eliminated choice C) because it doesn't satisfy g(0)=0. And, from here Im not sure what to do. I dont really understand what g '(4)=0 exactly means. Any feedback would be helpful
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  4. #4
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    Re: graphs about a function

    g'(x) is the slope (or gradient) of g(x).

    g'(4)=0 tells you that the gradient is zero when x=4.
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  5. #5
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    Re: graphs about a function

    ahh..so that would be represented by D right?
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  6. #6
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    Re: graphs about a function

    Correct.
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  7. #7
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    Re: graphs about a function

    thank you
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