anonymous
  • anonymous
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?
Mathematics
  • Stacey Warren - Expert brainly.com
Hey! We 've verified this expert answer for you, click below to unlock the details :)
SOLVED
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.
schrodinger
  • schrodinger
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
Rizags
  • Rizags
whats the function?
anonymous
  • anonymous
1 sec
myininaya
  • myininaya
|dw:1434750076795:dw| something like this?

Looking for something else?

Not the answer you are looking for? Search for more explanations.

More answers

anonymous
  • anonymous
I think so yes..
anonymous
  • anonymous
\[-577 + 736 x - 324 x^2 + 60 x^3 - 4 x^4\]
myininaya
  • myininaya
well it doesn't have a absolute min
myininaya
  • myininaya
you are looking at a polynomial ?
myininaya
  • myininaya
polynomials don't have vertical asymptotes
myininaya
  • myininaya
I guess you are talking about the end behavior of the graph maybe
myininaya
  • myininaya
when you talk about going to negative infinity ?
myininaya
  • myininaya
anyways to find the lowest point I would first differentiate your polynomial there if I were you
myininaya
  • myininaya
then find critical numbers by finding when f'=0
anonymous
  • anonymous
I 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
  • myininaya
are you looking for local min?
myininaya
  • myininaya
or absolute min?
myininaya
  • myininaya
as you said there is no absolute min because the end behavior of the graph goes to neg infinity
anonymous
  • anonymous
That might be my answer then...
myininaya
  • myininaya
is there an interval for which you are to restrict this function to?
anonymous
  • anonymous
the 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
  • anonymous
something I should have remembered from high school I guess.. but then couldnt find even anything on google that answered that directly.
myininaya
  • myininaya
well I think lowest point is absolute min
myininaya
  • myininaya
but there are lowest points on smaller intervals of the graph
dan815
  • dan815
the lowest point is the lowest point on the graph, which is negative infinity :)
myininaya
  • myininaya
@dan815 which means the lowest point does not exist since neg infinity isn't a number :p
anonymous
  • anonymous
thank you both of you.. that clears that I think. yes the interval is undefined, so I would think range is infinite
anonymous
  • anonymous
and thanks for a prompt response..

Looking for something else?

Not the answer you are looking for? Search for more explanations.