Posted by Yoona on Monday, November 21, 2011 at 12:55am.
the figure shows the graph of F', the derivative of a function f. the domain of the function f is the set of all X such that 3< or equal to x<or equal to 3
a)for what values of x in the domain does f have a relative max and amin? justify
b) for what values of x is the graph of f concave up? justify your answer
c) use the information found in parts a and b and the fact that f(3)=0 to sketch a possible graph of f
obiously you can not see the graph but can you give me instructions on how to do it?
thanks

Calculous  Steve, Monday, November 21, 2011 at 4:53am
In the domain 3 <= x <= 3
f has a max/min where f' = 0
f is concave up when f'' > 0. In other words, when f' is increasing.
f has inflection points where f'' = 0. In other words, where f' has a max/min.
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