anonymous
  • anonymous
y=(-50x^3)+(10x^2)+150x+250 find the positive interval, negative interval, increasing and decreasing intervals 11:33 pm
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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schrodinger
  • schrodinger
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anonymous
  • anonymous
To find the increasing and decreasing intervals, you have to find f'(x), which means the critcal points then make a table and plug them in , so : x (-) 0 (+) and plug in the critical numbers _______________________________________________ f(x) ________________________________________________ f'(x) then substitute some values of x in the original function. if you get a - answer then f'(x) is decreasing, if you get a + answer then f'(x) is increasing, and when you're done you can compute the intervals of increasing and decreasing. It would be alot easier if I show it to you by hand lol, Hope this helps ^_^
anonymous
  • anonymous
That sounds hard
anonymous
  • anonymous
LOL, believe me it's easier than you think.

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anonymous
  • anonymous
i got f<2.36 for the positive
anonymous
  • anonymous
find the critical numbers, plug them in the table, then plug in some other negative numbers in the left, and positive numbers in the right. After that , plug them in f(x) to see what value we get, then write it in the f(x) row. If your answer is positive, then write in f'(x)'s row , increase and vice versa ^_^
anonymous
  • anonymous
it's positive, so f'(x) is increasing ^_^
anonymous
  • anonymous
ok what are the critical numbers
anonymous
  • anonymous
to know that you have to computer f'(x) :)
anonymous
  • anonymous
the x-intercept is 2.36 y intercept is 250 relative max is (1.06, 360.6) and relative min is (-.93, 159.36) now would you be able to tell me the intervals
anonymous
  • anonymous
haven't worked it out yet, but when they say positive interval and negative interval isn't it the same as finding the increasing and decreasing intervals?
anonymous
  • anonymous
no they are different
anonymous
  • anonymous
is it finding the Absolute mx and Absolute min?
anonymous
  • anonymous
no i don't think those exist for this equation
anonymous
  • anonymous
I'm still not getting what you mean by positive interval and negative interval, never heard of such thing lol >_<
anonymous
  • anonymous
oh. That's ok. I don't understand any of this.
anonymous
  • anonymous
did you understand the increasing and decreasing intervals?
anonymous
  • anonymous
Not really. I'll probably have to study that more.
anonymous
  • anonymous
after figuring out whether f'(x) is increasing or decreasing, you can then say from where and where does the function increase or decrease
anonymous
  • anonymous
yes!
anonymous
  • anonymous
oh well.
anonymous
  • anonymous
lol, I wish I was there to draw it for you, it'll be alot more clearer than just typing it down . I'm sorry

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