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Mathematics 23 Online
OpenStudy (iwanttogotostanford):

lllll

OpenStudy (iwanttogotostanford):

@freckles @imqwerty @YoungStudier @sleepyhead314 @PrincessHush

OpenStudy (sleepyhead314):

... I'm not a complete sentences sort of person... but umm since the highest degree is to the fourth power, we can assume that the graph touches the x axis 4 times and the y intercept is the only number without any x which would be 16 = if you have zero laptops, you profit $16 (lol)

OpenStudy (iwanttogotostanford):

so far this is all i have but I'm lost on the second part: The the ends will both continue up on the graph because the leading coefficient is positive. Since the degree is even, the ends on the graph will travel in the same direction.

OpenStudy (sleepyhead314):

oh that's good

OpenStudy (iwanttogotostanford):

but I don't know how to describe how to sketch the graph without using technology

OpenStudy (sleepyhead314):

well I suppose you can factor it then get the x-intercepts then plot them and see if the graph is positive or negative between those x-intercepts that would tell you if it is looping from above or below

OpenStudy (iwanttogotostanford):

yeah! And then how do i show to find where the company will break even????

OpenStudy (sleepyhead314):

break evens are when profit = 0 aka the x-intercepts

OpenStudy (sleepyhead314):

although it would make more sense to limit the x intercepts to only the positive ones because you can't really have negative laptops?

OpenStudy (iwanttogotostanford):

yeah true.

OpenStudy (sleepyhead314):

indeed do you need to show how to get the x-intercepts specifically? I would suggest factor by grouping x^4 - 8x + 16 - 3x^3 + 12x = (x^2-4)^2 + (-3x)(x^2-4) = etc

OpenStudy (iwanttogotostanford):

ok yes probably- thank you!

OpenStudy (iwanttogotostanford):

could you help me with one more please?

OpenStudy (sleepyhead314):

I can try although graphing higher polynomials is not my forte

OpenStudy (sleepyhead314):

ok ok what part do you need? :P

OpenStudy (iwanttogotostanford):

does it look like my answer is proficient?

OpenStudy (sleepyhead314):

yeah, it answers all the questions :)

OpenStudy (iwanttogotostanford):

ok, thanks!

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