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anonymous
 one year ago
If a function goes to negative infinity but has crests and dips in it, is there a lowest point on the graph, or is the lowest point undefined, or negative infinity?
anonymous
 one year ago
If a function goes to negative infinity but has crests and dips in it, is there a lowest point on the graph, or is the lowest point undefined, or negative infinity?

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myininaya
 one year ago
Best ResponseYou've already chosen the best response.4dw:1434750076795:dw something like this?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0\[577 + 736 x  324 x^2 + 60 x^3  4 x^4\]

myininaya
 one year ago
Best ResponseYou've already chosen the best response.4well it doesn't have a absolute min

myininaya
 one year ago
Best ResponseYou've already chosen the best response.4you are looking at a polynomial ?

myininaya
 one year ago
Best ResponseYou've already chosen the best response.4polynomials don't have vertical asymptotes

myininaya
 one year ago
Best ResponseYou've already chosen the best response.4I guess you are talking about the end behavior of the graph maybe

myininaya
 one year ago
Best ResponseYou've already chosen the best response.4when you talk about going to negative infinity ?

myininaya
 one year ago
Best ResponseYou've already chosen the best response.4anyways to find the lowest point I would first differentiate your polynomial there if I were you

myininaya
 one year ago
Best ResponseYou've already chosen the best response.4then find critical numbers by finding when f'=0

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0I see something like this.. and the question asks, is there a lowest point on the graph? dw:1434750324649:dw but I see two  infinity's on the ends.. and this middle trough.. and was wondering.. is that considered a low point? or are the low points considered undefined?

myininaya
 one year ago
Best ResponseYou've already chosen the best response.4are you looking for local min?

myininaya
 one year ago
Best ResponseYou've already chosen the best response.4as you said there is no absolute min because the end behavior of the graph goes to neg infinity

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0That might be my answer then...

myininaya
 one year ago
Best ResponseYou've already chosen the best response.4is there an interval for which you are to restrict this function to?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0the actual question was this.. I found the high point no problem, and the trough.. Find the highest point on the graph of f[x] = 577 + 736 x  324 x^2 + 60 x^3  4 x^4 . Is there a lowest point on this graph? but then couldnt remember how low points, were defined..

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0something I should have remembered from high school I guess.. but then couldnt find even anything on google that answered that directly.

myininaya
 one year ago
Best ResponseYou've already chosen the best response.4well I think lowest point is absolute min

myininaya
 one year ago
Best ResponseYou've already chosen the best response.4but there are lowest points on smaller intervals of the graph

dan815
 one year ago
Best ResponseYou've already chosen the best response.1the lowest point is the lowest point on the graph, which is negative infinity :)

myininaya
 one year ago
Best ResponseYou've already chosen the best response.4@dan815 which means the lowest point does not exist since neg infinity isn't a number :p

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0thank you both of you.. that clears that I think. yes the interval is undefined, so I would think range is infinite

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0and thanks for a prompt response..
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