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livestrong136 livestrong136
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Posts: 324
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12 years ago
Can you Please answer these fully with the properties. Thanx
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BearProBearPro
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12 years ago
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star,  lewis,  bio_man
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livestrong136 Author
wrote...
12 years ago
Hey, for the second graph, isn't the point of inflection 0 because point of inflection occurs at f"(x)= 0. I drew the one derivative graph and then the second one, but the second one's only x-intercept is at (0, 0) so shouldn't 0 be the answer for 2nd graph. Also, you are not writing the concavity?? Frowning Face
wrote...
Valued Member
12 years ago

A point  is called an inflection point if the function is continuous at the point and the concavity of the graph changes at that point.

 the graph of f(x) is concave up if  f '(x) is increasing in  a given interval

 the graph of f(x) is concave down  if f '(x) is decreasing in a given interval
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