question 1: If the graph of the derivative of f (x) is shown, on which intervals would f (x) be concave up?

<a> (p, r)

<b> (r, s)

<c> (p, q)

<d> (q, s)

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- May 24th 2006, 12:52 PMbobby77please very urgent
**question 1**: If the graph of the derivative of f (x) is shown, on which intervals would f (x) be concave up?

<a> (p, r)

<b> (r, s)

<c> (p, q)

<d> (q, s) - May 24th 2006, 01:17 PMtopsquarkQuote:

Originally Posted by**bobby77**

I think the simplest way to analyze these are in terms of the way my Math teacher first presented it: The graph is "concave up" when you can pour water into it and the water doesn't pour back out. If the water would spill out, it's concave down. (There are examples where this won't work, such as the graph of y = x^3, but it works well as a "quick and dirty" method.)

Looking at the interval (r,s) it looks like that could hold some water (ignoring the open right side of the graph!). So (r,s) is concave up.

-Dan - May 24th 2006, 01:17 PMCaptainBlackQuote:

Originally Posted by**bobby77**

What is it?

RonL