Mathematics
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OpenStudy (anonymous):
What's the domain and range of this function? f(x)= -(x-1)^2+2
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OpenStudy (anonymous):
all real domain, (2, infinity) range
hero (hero):
x = all reals
y = (-infinity, 1)
OpenStudy (anonymous):
oops. I forgot my -. Hero you're a hero.
OpenStudy (anonymous):
but isn't it (-infinity, 2)?
hero (hero):
Do you want me to solve it for you?
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OpenStudy (anonymous):
my graphy calculator already did that!
hero (hero):
Find the inverse of the function first, then replace x with y
OpenStudy (anonymous):
why would you do that?
hero (hero):
Oh, you're right :o)
OpenStudy (anonymous):
:P
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hero (hero):
You find the inverse of the function to find the range
OpenStudy (anonymous):
totally not necessary with parabolas mostly.
hero (hero):
Yeah, but if you didn't have your graphing calc, then what would you do?
OpenStudy (anonymous):
graph it :P
OpenStudy (anonymous):
it's just a normal parabola, not even a stretch factor.
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hero (hero):
Taking the inverse is much easier for me
OpenStudy (anonymous):
but I'm curious now. how do you use the inverse to find domain?
OpenStudy (anonymous):
just find the inverse?
hero (hero):
You use it to find the range, not the domain
OpenStudy (anonymous):
oh?
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OpenStudy (anonymous):
can you show work?
hero (hero):
You can find the domain without manipulating the equation. I know we both know that
hero (hero):
You want me to write out all my steps?
hero (hero):
I'd rather do it on twiddla