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Math Help - From graph, find interval concave upward/downward

  1. #1
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    From graph, find interval concave upward/downward

    I have to find "The open intervals on which f is concave upward and downward"

    I put the image as an attachment

    I know inflection points at x=2, x=4,x=5.

    I said it was concave upward (2,4) and concave downward on (0,2). The inflection point is where concavity begins/ends right? I can't seem to get the right answer.Any help would be great
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  2. #2
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    Re: From graph, find interval concave upward/downward

    Quote Originally Posted by katiebear128 View Post
    I have to find "The open intervals on which f is concave upward and downward"

    I put the image as an attachment

    I know inflection points at x=2, x=4,x=5.

    I said it was concave upward (2,4) and concave downward on (0,2). The inflection point is where concavity begins/ends right? I can't seem to get the right answer.Any help would be great
    what about describing the concavity over the remainder of the graph ... the interval (4,7) ?
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  3. #3
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    Re: From graph, find interval concave upward/downward

    & concave up (5,7). concave down (4,5). Thanks I got it right! I forgot about those completely...I guess because they are only "half-parabolas"
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