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NationalTutoringObservatory
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MathEd-PII

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volunteer
it can go across the X-axis.
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volunteer
right
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student
Yes
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volunteer
All right. So, can you count how many times it would? Remember to take into account that it did a bounce.
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student
OK, so, first,
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student
the first one
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volunteer
um
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student
would be twice but they will be 2. And then this a bust bag, so like,
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student
was it cute
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volunteer
so how many would be there. I believe that would just be squared because.
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student
Yeah, cause, cause the
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volunteer
if it's cubed, it would go down again.
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student
OK, so this square, so
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volunteer
And then
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student
so what is this
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student
Would it be cute
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volunteer
that's just one more, isn't it? Cause it crosses it once again.
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volunteer
No.
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student
So like, it, it, they're all square
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volunteer
No. See how, here, I don't know if I can. So you go to the first one, right?
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student
Yeah.
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volunteer
So that's one because it crosses the X-axis once.
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student
Yeah
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volunteer
and then go to the point where it crosses again, that's 2, right? Cause it just goes all the way through.
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student
Yes
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volunteer
And then the third one, you see how it bounces.
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student
Yeah
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volunteer
So it's really going
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volunteer
34
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student
So it touches, oh, it touches the excesses 4 times.
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volunteer
and then there's one at the end for 5.
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student
Wait, so is it 1
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student
2
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student
3
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student
45
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volunteer
Yes, but I noticed you moved it a little bit for 3 and 4. I want you to know that the 3 and 4 would be the exact same point.
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volunteer
But because it
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student
Oh, that's why.
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student
Mm.
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student
Mm
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volunteer
because it's X squad there, cause it's squared there, like, you know how it was -3 and 6 on the last one.
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student
Yeah
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volunteer
because it has a multiplicity of 2, it counts as 2.
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student
Yeah
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volunteer
All right, so it would be 12, and then that point in the middle would be 34, and then that 1 at the end would be 5.
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volunteer
Does that make sense
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student
Mhm. So what does that mean the degree is?
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student
Oh
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student
Oh
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volunteer
So that would mean the degree is 5 because it has the potential to touch the x-axis 5 times.
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student
OK
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volunteer
right?
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student
Yeah, hold on
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volunteer
All right
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student
Something is stuck in my teeth.
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student
All right
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student
Odd
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student
And the leading toy fishing.
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student
How would we know the leading coefficient is negative or positive
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volunteer
Uh, let's see
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volunteer
So you see how the graph is facing up towards the negative and then down towards the positive.
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student
Mhm
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volunteer
So if it's X the 5th.
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student
Mhm
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volunteer
that means that it has to be, so if it goes towards the negative.
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student
Yeah
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volunteer
what, what would it, what would it go to in an X 5th function.
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volunteer
Normally
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volunteer
if it's positive
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volunteer
Like what's -1 x 5.
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student
Mhm
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volunteer
The answer would be -1, right? Because -1 multiplied by itself 5 times, is still -1.
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student
you
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volunteer
But you see how that's going to the positive direction.
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student
yeah
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volunteer
So that means that it has to be negative in the front.
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student
this one
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volunteer
because, yeah, because you see how it's becoming positive, even though it's going in the negative direction.
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student
the lead in
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volunteer
Yes.
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student
Which one is lead in
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volunteer
The leading would be the one at the highest degree.
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student
I thought they all had the same degree.
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volunteer
No, because
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volunteer
like you see how it would be, no, because it the maximum amount.
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volunteer
of degree it can have is the amount of times it crosses the X-axis. So the highest one there has to be x 5.
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student
So how would we know which one is exceed.
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volunteer
You don't need to know which one's x 5.
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student
Oh
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volunteer
You just have to know that the entire graph, it's leading one is X.
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student
Oh, so the lead coefficient would be 1.
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student
So
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volunteer
Well, it wouldn't be one, but it would be because I guarantee when you open that box, it's going to say positive or negative.
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volunteer
Right
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student
Yeah
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volunteer
Open it
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student
I did open it
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volunteer
Oh, OK, sorry, you're slow.
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student
You can't see? Oh, it's, it's lagging.
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student
I'm literally opening it right now, but it does say pa positive or negative.
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