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MathEd-PII

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8
student
Yeah.
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volunteer
Right? Yeah, so basically if it's going positive, even though it's increasing in the negative direction. What does that tell you?
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student
It's positive
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volunteer
It has to be negative, right?
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student
Oh
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student
Oh, I think
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volunteer
Because the negative times negative is a positive.
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student
I'm too confused. I don't get this part.
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volunteer
OK, no problem. All right. So you, let's make it X cubed. Does that make it easier?
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student
Yeah
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volunteer
So you know how X cubs nor when it's positive, it is going down to the left and then up to the right.
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student
Hey, this is.
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volunteer
Yes.
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volunteer
No, that's z. Go to X cube.
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student
Oh.
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volunteer
You notice how it is down to the left and up to the right.
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student
yes.
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volunteer
That is because if you plug in a negative number in X cubed, what would you get?
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student
uh
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volunteer
You did X to the -1
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volunteer
But you see how you deduct the -3.
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student
wait, oh, what do you mean plug in a negative number to X cub.
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student
Like, like
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volunteer
That would mean you change the X value to a negative number. So what would -5 be cubed?
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volunteer
but that would be -125. So do 2 because that's easier.
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student
this
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student
OK.
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volunteer
-2 cub would still be -8, right?
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student
Yeah
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volunteer
Because it would be 2 times 2 times 2.
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student
Yes
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volunteer
So you see how
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student
Cause it's cubed
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student
00, so like.
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volunteer
yeah, he's, you see how that's a negative number.
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student
yeah, cause when you do a negative number, it always ends back up negative when it's cut.
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volunteer
Yeah, but you'd notice how it's going up towards the positive number when it's
16,453
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volunteer
going towards the negatives.
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student
Like what
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volunteer
like go back to the original problem.
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volunteer
You notice how it's always, you know how it's going up and not down from the negative direction.
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student
Yes
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volunteer
That would mean that it has to be negative because the negative times a negative would be a positive.
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student
One is going up, it's a negative.
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volunteer
No, it, it would be going like the Y value, the Y value is positive.
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student
Mhm
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student
And the X is negative.
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volunteer
That's because the negative times a negative is positive, yes.
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volunteer
So if X is negative, how does a Y value become positive?
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student
FX is like.
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volunteer
If it's multiplied by another
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volunteer
negative value
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student
Yeah.
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volunteer
Does that make sense
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student
Yeah
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volunteer
Are you sure?
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student
Oh
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student
a little bit
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volunteer
But
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student
but it's fine. I'm gonna, I'm gonna put like a just that. Well, so 30
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volunteer
All right. Here, let's just finish this one. So there are, are you sure there's 5 different real zeros?
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volunteer
because remember it says different, right?
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student
Oh, so 4
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volunteer
Yes, because one's a multiplicity.
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student
And 3 relatives minimums.
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volunteer
Well, let's look. So there
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student
02, is it 2?
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volunteer
I think it would be 2, because there'd be only two values where it's minimum.
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student
It
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student
I wanna try a different one
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volunteer
Yay, right, so let's stay on here real quick.
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student
OK
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volunteer
All right, I just want, so you notice how
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volunteer
uh so that's basically saying as x goes to negative infinity
16,453
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volunteer
it would be going up towards positive infinity, right?
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student
So
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student
wait, can you resay that? Say that again.
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volunteer
So if X is going towards negative infinity, basically you plug in
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volunteer
all of the X values that are negative.
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volunteer
You notice how Y is still increasing to positive infinity.
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student
Yeah.
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volunteer
So that, so if it's a positive value, like if we're going X, right?
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student
Mhm.
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volunteer
Like normal X to the 5th.
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student
OK
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volunteer
That means if we plug in a negative value, that would be a negative times a negative times a negative times a negative times a negative, which would still be a negative, right?
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student
Yeah
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volunteer
But that would mean the Y value has to be negative.
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volunteer
But you see how it's going towards the positive direction.
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student
Yes
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volunteer
That means that there's another negative to make it positive.
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volunteer
because then it would be negative times and negative times and negative times and negative
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volunteer
But then there would be times of negative, which would make it positive.
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student
Yeah
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volunteer
Does that make more sense to you?
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student
Yes
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volunteer
OK, good. So
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student
So the degrees odd when an arrows point opposite directions.
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volunteer
yup, odd is basically one.
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student
Yeah, yeah, yeah
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