sign and strictly decreasing/increasing

[paulsterio]

What's your opinion on things b^3, it looks as if we have all of the maths-iest kids on AN here! D:

[nacho]

What's your opinion on things b^3, it looks as if we have all of the maths-iest kids on AN here! D:

somebody call tony

[tony3272]

What's your opinion on things b^3, it looks as if we have all of the maths-iest kids on AN here! D:

somebody call tony

dude don't say that

[b^3]

There is no minimum, at least according to VCAA. http://www.vcaa.vic.edu.au/correspondence/bulletins/2011/April/2011AprilSup2.pdf - Bottom of page 5. '... has a single maximum value which is a local maximum, but no minimum value as shown in Figure 9'.
Since the graph there is referring to volume, you can't have zero volume, so it is not defined at those points, so there is no minimum value. It's just like the (x-1)³/x-1, the value that should be the minimum is not defined, so there is no minimum.

EDIT: Just note Luffy found the VCAA bulletin.

[paulsterio]

There is no minimum, at least according to VCAA. http://www.vcaa.vic.edu.au/correspondence/bulletins/2011/April/2011AprilSup2.pdf - Bottom of page 5. '... has a single maximum value which is a local maximum, but no minimum value as shown in Figure 9'.
Since the graph there is referring to volume, you can't have zero volume, so it is not defined at those points, so there is no minimum value. It's just like the (x-1)³/x-1, the value that should be the minimum is not defined, so there is no minimum.

That actually makes logical sense :\
And thanks for pointing out the VCAA Bulletin b^3, I've never realised that

btw, as a point of curiosity, do you say your name "bee-cubed"?

[b^3]

b as in the letter B, then cubed as in to the power of 3, ³i.e. b-cubed. Short for BBB which is short for something that I won't get into here 

[paulsterio]

b as in the letter B, then cubed as in to the power of 3, ³i.e. b-cubed. Short for BBB which is short for something that I won't get into here 

You know the movie xXx, how he has that tatooed across the back of his neck, one of my maths teachers suggested me getting x^3 LOL!

[nacho]

b as in the letter B, then cubed as in to the power of 3, ³i.e. b-cubed. Short for BBB which is short for something that I won't get into here 

Bakugan Battle Brawlers?

[b^3]

Nah It's just stands for well, a joke in our group.

[duquesne9995]

interesting thread guys (Y)

in response to the first question (i don't think the first part was answered but correct me if i'm wrong)

when you diff on cas, sometimes they give you sign(x)
so when you write out the equation, is it sign(x), x>0  and -sign(x) x<0 or is it x≥0
sorry if i'm not clear enough, i'll try to explain again if no one understands me

and for strictly decreasing/increasing functions,
the maximum/minimum value is included?

sign in the calculator means x/abs(x)
which is basically + or - 1

for more explanation see:
http://epsstore.ti.com/OA_HTML/csksxvm.jsp?nSetId=76468&nUsePub=NO&jttst0=6_23871,23871,-1,0,&jtfm0=&etfm1=&jfn=ZG14CAB3C2098C0C2F1935F2DE914F1F6FAC4DAE07C38C895D4D8C7FDA376654387816F2C8E67611CD9A175097DCA9DF55A4