Mathematics
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OpenStudy (anonymous):
Functions help.
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OpenStudy (anonymous):
OpenStudy (anonymous):
What will the new equation be? Just give me that and I can solve it from there.
OpenStudy (rational):
x --> 3-x
7 --> ?
OpenStudy (anonymous):
Not enough.
OpenStudy (rational):
x --> 3-x
7 --> 3-7
--> ?
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OpenStudy (anonymous):
Oh alright, -4
OpenStudy (rational):
yes! btw your dp is cute :)
OpenStudy (anonymous):
Thanks, haha.
By the way, I have more function questions if you're okay with that?
OpenStudy (rational):
as long as they are new and you're learning i am okay
OpenStudy (anonymous):
I'm always am :)
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OpenStudy (anonymous):
OpenStudy (rational):
here is the rule for a relation to be a function :
the `x values` must not repeat
OpenStudy (anonymous):
Yes, I got that.
OpenStudy (anonymous):
Do I have to make a graph or a table?
OpenStudy (rational):
Look at the first option,
it has repeated x values for first two points :
{( `2`, 4), ( `2`, -7),...
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OpenStudy (rational):
so its not a function.
OpenStudy (rational):
next look at second option,
does it have repeated x values too ?
OpenStudy (anonymous):
The only answer would be D.
OpenStudy (anonymous):
Actually wait
OpenStudy (rational):
Awesome !!
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OpenStudy (rational):
D is correct, do you have a doubt ?
OpenStudy (anonymous):
Oh nevermind, sorry, I saw the number not the signs lol.
OpenStudy (anonymous):
OpenStudy (rational):
the \(\large \sqrt{x}\) is not defined for negative `x` values in reals
OpenStudy (rational):
so the doman is x >= 0
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OpenStudy (rational):
all real numbers greater than or equal to 0
OpenStudy (anonymous):
OpenStudy (anonymous):
can do this on my own, but I'm too lazy at the moment. Not a right way to completed this :/
OpenStudy (rational):
do it when you're not lazy
OpenStudy (anonymous):
Just need help on this last one. Can't find the table for it.
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OpenStudy (anonymous):
Need help on the second one.
OpenStudy (rational):
Notice that the function was broken int 3 intervals
OpenStudy (anonymous):
Yes
OpenStudy (rational):
-2 when x < -3
4x when x is between -3 and -1
x^2 when x > -1
OpenStudy (rational):
since 3 is > -1,
you need to use the last line
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OpenStudy (rational):
f(x) = x^2
f(3) = ?
OpenStudy (anonymous):
Still not sure what it would be without the table.
OpenStudy (rational):
f(x) = x^2
f(3) = 3^2
= ?
OpenStudy (anonymous):
9
OpenStudy (rational):
correct!
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OpenStudy (anonymous):
So I just needed to replace x by 3?