determine whether the equation defines y as a function of x. 6x^2+y^2=1. can someone help me out real quick with this one
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OpenStudy (anonymous):
someone help me please
OpenStudy (anonymous):
help help !!
OpenStudy (zzr0ck3r):
is y^2 = x a function?
OpenStudy (anonymous):
it says determine whether the equation defines y as a function of x for
6x^2+y^2=1
OpenStudy (zzr0ck3r):
yes I know, but the question I asked has the same answer.
so
is y^2 = x a function of x?
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OpenStudy (anonymous):
please show work for this one
OpenStudy (zzr0ck3r):
if you solve for y you get y = +-sqrt(x) correct?
OpenStudy (anonymous):
im lost please just work this one for me and i will figure this out
OpenStudy (zzr0ck3r):
6x^2+y^2=1 first solve for y
y^2 = 1-6x^2
y = +- sqrt(1-6x^2) correct?
OpenStudy (anonymous):
yes
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OpenStudy (anonymous):
next
OpenStudy (anonymous):
so yes right?
OpenStudy (zzr0ck3r):
so what is a function? it cant have two different y values for any x, so.
in your clase if you put in, lets say x = 2 you will get two different answer
mainly, -sqrt(1-6x^2) and sqrt(1-6x^2)
so is it a function then?
OpenStudy (anonymous):
no?
OpenStudy (zzr0ck3r):
correct, but you need to understand why, do you?
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