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student
OK
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volunteer
if I draw, if I ask you to draw y equals X.
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volunteer
Do you know how that would look like
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student
Um
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student
cause you said if Y equals X it would go up, right?
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volunteer
Uh, it would look like what I draw, yeah, it was what I drew, sorry.
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student
Mm
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student
I don't know what why it calls negative X would look like.
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volunteer
It's OK
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volunteer
All negative X means it's going to be flipped over the x-axis, OK?
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student
OK
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volunteer
And X, this is Y.
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volunteer
If the X is being negative, I'm going to be flipping on the
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volunteer
X-axis. So, yeah.
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volunteer
I would actually just imagine this is a mirror, OK?
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student
Mhm
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volunteer
You're flipping this down
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volunteer
So this would actually look like this.
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student
it would go from the X to the Y, right?
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student
Like
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volunteer
what do you mean the axilma
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student
like instead of, you know, how it, like, the, the, sorry, just to remind myself, the why
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student
is the
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student
is it domain or is it range?
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volunteer
range
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student
OK, so why it's range and X's domain. Like you, like for the
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student
why it's going from the
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student
range
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volunteer
R
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student
like the line of the range, like
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student
I don't know how to explain it, never mind.
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volunteer
It's OK. The range should be negative infinity to infinity.
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volunteer
And the said even the domain should be negative inf infinity. Essentially, what domain and ranges is, can I plug something to break math. That's all it is.
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volunteer
So if I have square root of -1.
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volunteer
Can you, OK, hold on
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volunteer
Um
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volunteer
what OK
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volunteer
I need you to tell me what is the value of X?
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volunteer
Can you solve for x real quick
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volunteer
You can solve it on the board if you want
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student
Isn't it just one
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volunteer
OK? You, you got one by just what squaring one.
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student
huh?
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volunteer
You, you, you, you got one by squaring both sides.
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student
Well, isn't X like just automatically 1?
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volunteer
I'm, I'm, I don't, do you, do you, did you look at my equation around on top with -1 equals square x.
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student
Uh-huh.
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volunteer
I'm asking you to solve for x.
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student
I don't know how to do that.
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volunteer
OK
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volunteer
Uh, did you want to go through solving an equation?
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volunteer
without that?
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student
Uh yeah
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volunteer
OK.
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volunteer
So, OK. If you have X + 1 equals 5.
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volunteer
How would you go through solving for X
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volunteer
I wrote it on the bottom if you can't see that.
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student
Oh,
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student
well, you wanna get it eggs by itself.
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volunteer
Yeah
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student
So you would just do, since it's adding, you would just do minus.
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student
1 and then minus 1 and then X
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student
equals
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student
5 minus 1, which is just 4.
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volunteer
All right, good. How would you do X² equals 4.
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student
Um
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student
well, you wanna get rid of this weird and since this one's multiplying, you would divide
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student
by 4
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student
I think
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volunteer
No.
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student
No, wait, you would divide by X
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student
right
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student
No
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volunteer
no
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student
shoot, uh.
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volunteer
Yeah, that's, we talked about square roots just now.
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student
yeah
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volunteer
just think about it. Uh, what can I multiply by itself to give me 4?
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student
one
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volunteer
1 times 1 is 4
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student
Oh wait, no, 4 times 1
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volunteer
No, I said one something by itself.
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student
02 x 2
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volunteer
OK, yeah. So if I do this, there's this thing called a square root.
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student
Mhm
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volunteer
That should give me plus or minus 2. Just, just understand this. Negative times negative should give me a positive
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volunteer
So when they ask me for this, there's two solutions. It's 2 and 2.
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volunteer
OK.
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student
OK
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volunteer
There is this thing called a square root.
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volunteer
The that which
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student
Wait, sorry, I'm, the, there's some reason green is. I'll be right back, sorry.
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volunteer
OK.
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student
Sorry, you were saying
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volunteer
Mhm
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volunteer
I just wanted to, I just wanted you to know that there's, that there's thing, there's this thing called a square root, OK?
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student
Mhm
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volunteer
A square root and quite literally undoes a squared.
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volunteer
So if I ask you to solve for X, you need to be thinking of square root.
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volunteer
OK.
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