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Math Help - concave

  1. #1
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    concave


    (c) The open interval on which f is concave upward.

    (d) The open interval on which f is concave downward.

    (e) The coordinates of the point of inflection.

    i don't understand. isn't it concave upward at (2,4)
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  2. #2
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    Change one word.

    Concave up ON (-\infty,2)

    Concave down ON (2,\infty)

    Your point (2,4) is the point of inflection.
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  3. #3
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    If I am reading that graph correctly, (2, 4) isn't even on the graph. The inflection point is at (2, 3).
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  4. #4
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    I'm not real clear on the concavity at (4,1), either. I can formulate an opinion if you tell me it is continuous, there. It's a problem with drawings. There is a little guess work involved.
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