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whats the function?

1 sec

|dw:1434750076795:dw|
something like this?

I think so yes..

\[-577 + 736 x - 324 x^2 + 60 x^3 - 4 x^4\]

well it doesn't have a absolute min

you are looking at a polynomial ?

polynomials don't have vertical asymptotes

I guess you are talking about the end behavior of the graph maybe

when you talk about going to negative infinity ?

anyways to find the lowest point
I would first differentiate your polynomial there if I were you

then find critical numbers by finding when f'=0

are you looking for local min?

or absolute min?

as you said there is no absolute min because the end behavior of the graph goes to neg infinity

That might be my answer then...

is there an interval for which you are to restrict this function to?

well I think lowest point is absolute min

but there are lowest points on smaller intervals of the graph

the lowest point is the lowest point on the graph, which is negative infinity :)

and thanks for a prompt response..