2026 HSC CHAT (3 Viewers)

[NotBamboo]

@jane1820 @Shavi Masee
ill clean up my working first and make a new thread
this is digressing from the purpose of the thread

 

[NotBamboo]

OMG I DIDNT REALISE MY RANGE ABDASDJIASJDAOJDSIA
i meant (-infinity, 0.7) bc according to the graph thats the highest it goes

also dw abt the phrasing lmao as long as it makes sense

.7 isnt right either silly
u cant rely on desmos for surds u gotta actually do the math

 

[jane1820]

.7 isnt right either silly
u cant rely on desmos for surds u gotta actually do the math

i wasnt taught the math for figuring out range, my teacher said just look at the graph

 

[cristal]

ok so here's my working
so if you draw up x^2 +2x+3 you can see domain is all real x because it never touches 0 and below due to the square root sign so that's domain

onto the range, so just for the quadratic we can see the minimum value/turning point is -1 (just remembered formula is -b/2a whoops). We use the min value bc the smaller the x value the larger the y value for the function.
Using -1 we sub it into the 1/sqrt of x^2 +2x+3 and our maximum value is 0.7071...
as the quadratic HAS to be greater than 0 (bc you can't do 1/0) and also because when doing square root functions you don't get negative (only outputs positive apparently)
range is : 0 < y </ (less than equal to) 0.7071...

(does this make sense or do I need a diagram?)

 

[cristal]

but yh you'd probably just write it as 1/sqrt 2 instead of 0.7071...

 

[cristal]

@Shavi Masee soo do you understand

 

[cristal]

or do I presume your brain's in overdrive mode?

 

[cristal]

Uhhh can't talk?
(I mean you did message on discord soooo)

 

[Shavi Masee]

or do I presume your brain's in overdrive mode?

I will have to sit down with my maths book and go through this
I still overheating
There's like barely any internet here, so it's taking ages to send

 

[NotBamboo]

ok so here's my working
so if you draw up x^2 +2x+3 you can see domain is all real x because it never touches 0 and below due to the square root sign so that's domain

onto the range, so just for the quadratic we can see the minimum value/turning point is -1 (just remembered formula is -b/2a whoops). We use the min value bc the smaller the x value the larger the y value for the function.
Using -1 we sub it into the 1/sqrt of x^2 +2x+3 and our maximum value is 0.7071...
as the quadratic HAS to be greater than 0 (bc you can't do 1/0) and also because when doing square root functions you don't get negative (only outputs positive apparently)
range is : 0 < y </ (less than equal to) 0.7071...

(does this make sense or do I need a diagram?)

GOOD STUFF KRYSTAL IM PROUD OF U <3
yeah heres my full 12 pages of working out that u did in like 5 sentences
Domain & Range help for my bestie | Bored Of Studies

 

[cristal]

GOOD STUFF KRYSTAL IM PROUD OF U <3
yeah heres my full 12 pages of working out that u did in like 5 sentences
Domain & Range help for my bestie | Bored Of Studies

Rare moment of Bamboo showing praise/ emotion

 

[cheesynooby]

@cheesynooby is there a better way to solve it that doesn't include derivatives (for shavi to understand)

I just find the range of the quadratic, then sqrt and reciprocate it
like the quadratic is y ≥ 2
sqrt it so y ≥ sqrt2
and then when u take the recpirocal u get 0 ≤ y ≤ 1/sqrt2

 

[cristal]

GOOD STUFF KRYSTAL IM PROUD OF U <3
yeah heres my full 12 pages of working out that u did in like 5 sentences
Domain & Range help for my bestie | Bored Of Studies

Yh but you showed it more clearly
My one has no diagram to reference (yeah I made one but not much point + didn't use my Wacom so not as neat)

 

[barnyard]

There's like barely any internet here, so it's taking ages to send

is this caves beach!!!!!!!!!!!!!!!!!!!!!

 

[Shavi Masee]

is this caves beach!!!!!!!!!!!!!!!!!!!!!

YESSSS IVE JUST LEFTT

How in the world did you get that lmaoo

 

[barnyard]

YESSSS IVE JUST LEFTT

How in the world did you get that lmaoo

i LOVE caves beach i go there all the time bc i live pretty close so i guess i jst know what it looks like lol sorry

 

[Study to success]

YESSSS IVE JUST LEFTT

How in the world did you get that lmaoo

Were u actually on the beach

 

[Shavi Masee]

Were u actually on the beach

Yess when I sent that I was leaving (I took the photo a while before)

 

[Study to success]

Yess When I sent that I was leaving (I took the photo a while before)

Wow u did math on the beach. If I was on the beach I would have fallen asleep

 

[Shavi Masee]

Wow u did math on the beach. If I was on the beach I would have fallen asleep

Noo no I was not doing math on the beach
I was doing math yesterday and I asked bamboo to help, he couldn't see the image when I sent it so I put it on the chat...