Graphs that Bend

27 Mar

When a graph is concave up it means that the average rate of change is increasing if you move from left to right and when the graph is concave down it means that the average rate of change is decreasing as you move from left to right. For a graph to concave up, it means that the slope is increasing which means the second derivative over an interval must be greater than zero and for it to concave down it means that the slope is decreasing and the second derivative is negative. What else do you know about concavity?

 

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2 Responses to “Graphs that Bend”

  1. carlosmathtime March 27, 2017 at 7:25 pm #

    i love your explanation of graph that bend. you paint a good picture of how its needs to be illustrated

  2. Dr. Fisher April 5, 2017 at 7:34 pm #

    When you say that the ” second derivative over an interval must be greater than zero,” what do you mean by the “second derivative”?

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