need help if you can

Question

nnesha · Answer

$$0x ^{7} + 2x ^{6} + 0x ^{5} - x ^{4} - x ^{3} - 9x ^{2} - 9x - 7$$

nnesha · Answer

"intervals on which it is increasing" (  -.885 , -.509) , ( 1.106 , infinity) ( i find this i don't know right or not )
and "intervals which it is decreasing" ( infinity , -.885),( -.509 , 1.106) ( same with this one ) 
is this right or not

amistre64 · Answer

finding critical points with a derivative might be an idea

amistre64 · Answer

$$2x ^{6}  - x ^{4} - x ^{3} - 9x ^{2} - 9x - 7:it~resembles~x^2~in~'shape'$$
$$12x ^{5}  - 4x ^{3} - 3x ^{2} - 18x - 9=0$$

amistre64 · Answer

where the 0 coefficients on purpose?

nnesha · Answer

oh wait how you get 12x^5

amistre64 · Answer

derivative of what you gave us

nnesha · Answer

0 is because to keep the x degree on line
this polynomial are not given by teacher or from books 
 we have to make that

amistre64 · Answer

oh, then its not a proper polynomial, since the coefficient of the first term is not to be 0

amistre64 · Answer

coeff of the highest degree tha tis

nnesha · Answer

well 0's are just for x degree 
it can be $$2x ^{6} - x ^{4} - x ^{3} -9x ^{2} - 9x -7$$

nnesha · Answer

this is my actual polynomial

amistre64 · Answer

yes :)  thats better, and its derivative is?  this is calculus right?

nnesha · Answer

no its not calculus

nnesha · Answer

its just simple math 3

amistre64 · Answer

thats not a name im familiar with

nnesha · Answer

what math 3 ???

amistre64 · Answer

yeah

xapproachesinfinity · Answer

Most likely precalc?

amistre64 · Answer

how do you go about finding the intervals?

nnesha · Answer

graph the polynomial and then find  increasing and decreasing left to right x values

amistre64 · Answer

graphing ... im used to trying to do things by hand, or by brain :)  old school i spose

nnesha · Answer

yeah i like that too 
but my teacher said to use calculator

amistre64 · Answer

http://www.wolframalpha.com/input/?i=y%3D2x6%2B%E2%88%92x4%E2%88%92x3%E2%88%929x2%E2%88%929x%E2%88%927 your function is a bit complicated in that its hard to see visually where some of the finer intervals are

xapproachesinfinity · Answer

eh you can't graph those big degree by hand unless you use differentiation

nnesha · Answer

i used desmos and my teacher allowed to use that

xapproachesinfinity · Answer

you can graph easy ones by hand! using few tips that student study in precalc

amistre64 · Answer

http://www.wolframalpha.com/input/?i=12x5%E2%88%924x3%E2%88%923x2%E2%88%9218x%E2%88%929%3D0 graphing the derivative of it gives a better indication where the slope of the curve is increasing (+ values) and decreasing (- values)

xapproachesinfinity · Answer

but when it comes to crazy polynomials it is an impossible job to do things by hand lol

xapproachesinfinity · Answer

without calculus that is

nnesha · Answer

https://www.desmos.com/calculator/q7zuz2kezp

amistre64 · Answer

|dw:1414373583309:dw|

amistre64 · Answer

use your own approximations :)

nnesha · Answer

i don't know how you get 12x^5  -4x^3 - 3x^2 - 18x -9

amistre64 · Answer

it doesnt matter, if your graphing your function, then do that.  i took a derivative and set it to 0 to find the apprixmation of the intervals.  you should be able to compare that to your own sighted method

amistre64 · Answer

|dw:1414373990539:dw|
"intervals on which it is increasing" 
(  -.885 , -.509) , ( 1.106 , infinity) 

"intervals which it is decreasing" 
( infinity , -.885),( -.509 , 1.106) ( same with this one )