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8
volunteer
One at -1 over 9, so we're right on that.
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volunteer
Mm
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volunteer
So let's try 9 X minus.
21,191
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volunteer
E. Where's my square root?
21,191
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volunteer
X
21,191
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volunteer
-1.
21,191
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volunteer
There it is.
21,191
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volunteer
Because of the square root,
21,191
499
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volunteer
Um, the function doesn't exist.
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volunteer
Uh
21,191
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volunteer
When X is less than 0.
21,191
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volunteer
I knew something was different.
21,191
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volunteer
Even veers off differently, look at that behavior.
21,191
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volunteer
Wow.
21,191
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volunteer
OK.
21,191
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volunteer
As a as a smaller
21,191
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[]
volunteer
Um, slope doesn't explode. It's not as narrow, it's wider.
21,191
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volunteer
we consider 1/81 as complex root.
21,191
509
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volunteer
I want to say yes.
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volunteer
I feel like part of me wants to say yes.
21,191
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student
because it exist as a root but does't satisfy the equation
21,191
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volunteer
I feel like this left hand side.
21,191
513
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volunteer
Because it exists as x < 0 doesn't satisfy the equation. Yeah, I feel like the when X is less than 0.
21,191
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volunteer
Um
21,191
515
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volunteer
It only exists in the complex plane.
21,191
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volunteer
Because we would by definition include I.
21,191
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volunteer
Because we have that square root of X.
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volunteer
So when Xs say,
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volunteer
equal to -1.
21,191
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volunteer
You'd have
21,191
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[]
volunteer
9 times -1 to be -9 minus 8 times I.
21,191
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volunteer
-1
21,191
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volunteer
So you have like -10.
21,191
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volunteer
Minus 8 I.
21,191
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volunteer
Yeah, I think this does only have one real root, which is an integer.
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student
yeah
21,191
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[]
volunteer
It is B
21,191
528
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volunteer
Man, this is annoying. Why can I not understand this unless I grafted it.
21,191
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volunteer
A square root threw me off.
21,191
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volunteer
Oh, and the behavior is different because
21,191
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volunteer
It's a line. It's supposed to be a line.
21,191
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volunteer
Because 9 X.
21,191
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volunteer
It's supposed to be alive, but the square root behavior.
21,191
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volunteer
try value. If X is equal to 0.5.
21,191
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volunteer
Let's say 0.25.
21,191
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[]
volunteer
Then you have
21,191
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volunteer
9 times 0.25, which is 1.5. No.
21,191
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volunteer
It
21,191
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volunteer
2.25.
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volunteer
Minus
21,191
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volunteer
8 times 0.5, which is 4. OK, so that is negative.
21,191
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volunteer
Hm
21,191
543
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volunteer
That's so weird, that a square root can override a line.
21,191
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volunteer
So much
21,191
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volunteer
To dictate his behavior like this.
21,191
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volunteer
It's basically linear.
21,191
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volunteer
Yeah, with a climb of 15 to 80.
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volunteer
16/1.
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student
is it necessary when x < 0, it goes in complex plain? becuz there are so many instance when w and it satisfy the equation too
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volunteer
Yeah, it's pretty consistent climb.
21,191
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volunteer
Once we get past a certain point, it just becomes a line. I think once we get past one.
21,191
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volunteer
It just becomes alive. Is it this?
21,191
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volunteer
This is annoying. I can't hear when you
21,191
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volunteer
Type in the chat, it should notify me with like a noise, but I don't get it. I keep
21,191
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volunteer
Missing when you type in.
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volunteer
Do you mean when X is less than 0?
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student
yeah
21,191
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volunteer
Not when X is greater than 0.
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volunteer
OK.
21,191
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volunteer
I mean
21,191
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student
x < 0
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volunteer
Yeah, I mean that by like by definition, unless you had um the square root of the absolute value.
21,191
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volunteer
Then you, we would have, um,
21,191
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volunteer
Then we'll be able to define it when X is less than 0.
21,191
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volunteer
But as soon as we
21,191
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volunteer
But as soon as we try to go,
21,191
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volunteer
With a negative X, it immediately turns complex.
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student
how does it immediatey turn complex at -x?
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volunteer
Because the function, uh, sorry, go ahead, ask your question.
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student
is this x root?
21,191
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volunteer
Well,
21,191
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volunteer
Let's give an example. Try using X is equal to.
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volunteer
Negative
21,191
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volunteer
Um, 0.25.
21,191
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volunteer
Right? And solve that into your
21,191
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[]
volunteer
Um, G of X.
21,191
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volunteer
I had to clear the board.
21,191
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volunteer
All your wonderful work unfortunately, has to.
21,191
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volunteer
pay the piper.
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student
i can solve on my notebook
21,191
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volunteer
OK. So try solving, um, the 9 X minus 8 square root of x.
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volunteer
Um, minus 1 when X is equal to -0.25.
21,191
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student
when i put x=-0.25 in g(x)
21,191
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student
it gives -16
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volunteer
Did you solve it on your calculator?
21,191
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volunteer
Or did you solve it by hand?
21,191
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student
calculator
21,191
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volunteer
That doesn't seem right.
21,191
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volunteer
Did, you're not doing square, you're not doing y squad, are you?
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student
no
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