Web Reference: If the average rates are increasing on an interval then the function is concave up and if the average rates are decreasing on an interval then the function is concave down on the interval. Dec 21, 2020 · We have found intervals of increasing and decreasing, intervals where the graph is concave up and down, along with the locations of relative extrema and inflection points. To show that the graphs above do in fact have concavity claimed above here is the graph again (blown up a little to make things clearer). So, as you can see, in the two upper graphs all of the tangent lines sketched in are all below the graph of the function and these are concave up. In the lower two graphs all the tangent lines are above the graph...
YouTube Excerpt: This calculus video tutorial shows you how to find the
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