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Yes

good
now, is x a function of y ?

No

Cause x is the dependent variable

y=x+7
y-7=x?

so is x a function of y?

can we switch their places?

They should work both ways.

Yes?

yes, each x gives exactly one y
now the hard part :P
is x a function of y?

No, cause each y gives us 2 x

It could be a function of yx

how so? elaborate ;)

|dw:1326051567892:dw| every element of a is maped to an element of b

y=x^2
yx=x
Therefore each y gives us 2 x
It is a function of yx

y/x=x actually

Lol i rushed it

that's not solved for x, you have x on both sides :/

take the square root of both sides

y1/2=x?

is the 1/2 and exponent?

an exponent*

Yes, didnt you say that yesterday?

ALright

plus or minus...

What?

No, why?

TURNING TEST BUDDY :D

hi pokemon :)

ooooh

since negative multiplied by negative is positive

exactly :D

so that said, back on topic\[r^2=t\]is t a function of r?
is r a function of t?

r is a function of t but not vice versa

actually vice versa, but not vice versa lol

which is a function of what? careful.

So t is a function of r?

Ohh

each positive value of t will give two real answers*

Yeah, throw me another one

what about\[r=\sqrt t\]???

sqrt(t) cant be the dependent variable

Oh, so if the +/- sign is gone then it can me the other way around?

yes
because we are only looking at the positive root
I'll draw...

Actually first the graph of r^2=t:|dw:1326054064202:dw|

|dw:1326054308550:dw|^not a function|dw:1326054323340:dw|^is a function

So that was wrong?

No its not

ut its x, not y. Shouldnt it be horizontal line test?

so another way to see it, is|dw:1326055195330:dw|is y a function of x?

Yes

good
is x a function of y?

no

show please

|dw:1326055271855:dw|

perfect :)

:D

y is a function of x and x is a function of y

r | t
---
0 | 1
2 | 3
5 | 9
7 | 3
4 | -14
is r(t) a function?
is t(r) a function?

No
Yes

correct!
very nice, I think you understand the concept of functions :D

Seriously? :D

yes, you are right :D
care to state your rationale?

Rationale?

why? your reason.

how did you know?

Oh, for the answer?

yeah
r | t
---
0 | 1
2 | 3
5 | 9
7 | 3
4 | -14
is r(t) a function?
is t(r) a function
WHY?

right, so r(t) does not represent a function, where t(r) does
perfect!!!!

Yeah!!! :DDD

Ok :D Im going to take a 30min break now :)

well deserved, take your time :D