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Mathematics 9 Online
OpenStudy (anonymous):

What's the domain and range of this function? f(x)= -(x-1)^2+2

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?

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

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.

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?

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

hero (hero):

http://www.twiddla.com/solved

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