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For what values of x is f(x) concave up and down? Given the graph.Here is the graph:...

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perry415 | Student, Undergraduate | (Level 2) eNoter

Posted March 2, 2012 at 2:22 PM via web

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For what values of x is f(x) concave up and down? Given the graph.

Here is the graph:

http://imgur.com/FdQCV

The graph above shows f(x) a quartic, so the derivative of it would be a cubic. What points do I use to find what values are concave up and down?

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embizze | High School Teacher | (Level 1) Educator Emeritus

Posted March 2, 2012 at 9:51 PM (Answer #1)

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For what values is f(x) concave up and concave down.

The function is similar to this:

-1/12x^2(x+3.5)(x-4.5)

In the problem, the f(x) axis is not labelled, and the x-intercepts are not labelled. So I believe you are supposed to approximate the inflection points. (The graph I have is not as symmetric as the picture in the link)

Here the graph is concave down on `(-oo,-1)` , concave up on `(-1,2)` , and concave down on `(2,oo)`

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perry415 | Student, Undergraduate | (Level 2) eNoter

Posted March 3, 2012 at 1:46 AM (Answer #2)

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Wouldn't we have to change the original graph to the derivative to find the concavity?

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