haleyelizabeth2017
  • haleyelizabeth2017
For which interval(s) is f(x)=3x^3-16x+2 increasing or decreasing?
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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freckles
  • freckles
You could find f'(x). Then find where f'>0 (this is where f is increasing) Then find where f'<0 (this is where f is decreasing)
Koikkara
  • Koikkara
|dw:1443816836547:dw| Graph comes like this.. lol and Hai...
Koikkara
  • Koikkara
@haleyelizabeth2017 Which means it's increasing...lol

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haleyelizabeth2017
  • haleyelizabeth2017
lol I have to find the intervals...
freckles
  • freckles
@haleyelizabeth2017 have you found the critical numbers yet?
haleyelizabeth2017
  • haleyelizabeth2017
No, still working on it.
haleyelizabeth2017
  • haleyelizabeth2017
Do I set f(x) to 0 and solve for x?
freckles
  • freckles
To find critical numbers you solve f'(x)=0 for x.
freckles
  • freckles
not f(x)=0
haleyelizabeth2017
  • haleyelizabeth2017
f'(x)?
freckles
  • freckles
yes derivative of f
freckles
  • freckles
do you know any calculus?
freckles
  • freckles
or you suppose to graph it in your calculator and say where the function is increasing or decreasing?
haleyelizabeth2017
  • haleyelizabeth2017
I do not know any calculus lol...
freckles
  • freckles
Well how do they expect you to answer this? Calculator right?
haleyelizabeth2017
  • haleyelizabeth2017
I think so
freckles
  • freckles
|dw:1443817293708:dw| we need to find these numbers a and b
freckles
  • freckles
read the function from left to right
freckles
  • freckles
the function is rising on (-inf,a) then falling on (a,b) then rising again on (b,inf)
freckles
  • freckles
all you have to do now is find those numbers a and b also called the turning points of the function using your calculator
freckles
  • freckles
also let me put some numbers on my graph because I don't want you to think that is y=0... |dw:1443817470752:dw| it was just meant to be a rough picture anyways
freckles
  • freckles
those equations aren't even that important (talking about the x=0 and the y=2)

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