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rpc
Oct13-04, 06:53 PM
In class today we were doing a problem where we were given the graph of f (the derivitive of F).

The domain was -3<x < or = 8

f(8)=0 and f had changed from positive <8 to 0, indicating a probable relative max (the function looked like a sinusoid, but the points after 8 were not graphed or included in the domain)

Therefore my question is, is 8 a relative max of F in that domain? or is not enough info there (i.e. it could have just bounced)?

My reasoning for it being a rel max is that it is a max value in the window.

What do you think?

HallsofIvy
Oct14-04, 06:39 AM
It is a relative maximum IN THAT DOMAIN. As long as the domain of F is -3 to 8, what happens for x> 8 is irrelevant: NOTHING happens because F is not defined for x> 8.