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volunteer
All right. So if it's an odd function, if you plug in
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volunteer
X, all of the values should be the same.
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volunteer
And if you plug in negative X,
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volunteer
then all of the values should change.
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student
What do you mean plug in
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volunteer
Like instead of X, uh, let's just go with -1 or let's just go with 1 because it's easier, right?
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student
Well, if you, if you plug in a positive number and then the negative.
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volunteer
But yeah, but like basically like split them up. So if you do
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volunteer
one here, it would just still be -9 cubed minus 5 plus
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volunteer
5, right
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volunteer
It would still be negative, negative, positive.
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volunteer
If we plug in a negative X
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volunteer
or sorry, if we plug in a positive X.
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student
um
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volunteer
because it would be the same function, right
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student
yeah, positive, negative
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volunteer
All right. And now if we plug in a and so if it's odd, if we plug in a negative X, every value should change sizes.
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student
so neg
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volunteer
So instead of positive X, it's a negative X. So it would be 9 X cubed minus
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volunteer
5 to the X, which is, which would be plus 5 and then plus 5 to the negative x to the 5, which would be minus X, right?
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student
probably be
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volunteer
So you see how every single sign changes.
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student
Yeah.
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volunteer
So if we plug in the normal X, everything should stay the same. If we plug in negative X every sign changes.
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volunteer
Does that make sense
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student
it
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student
I know
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volunteer
All right, so this, so that means that this function would be odd, right?
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student
because everything changed
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volunteer
Yeah, because everything changed
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student
Oh.
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volunteer
OK. And now if it's even, if you plug in a negative, everything should stay the same.
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volunteer
right?
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volunteer
No, it wouldn't be odd, because everything would stay the same, right?
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volunteer
If we plug in a negative, it's still going to be negative t, cause it's
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volunteer
basically look at the degrees
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volunteer
You see the degrees
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volunteer
Your mic is off, by the way
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student
Yes, I see that.
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volunteer
All right. So if it's all even, then, it should be
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volunteer
even if it's like 13, and 5, it should be odd. And then if it's a combination of the two, it's neither
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volunteer
That's a trick
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student
Oh
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student
donate
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volunteer
So go to the next problem for me.
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volunteer
You're confused
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student
which, yeah, cause how is this event?
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volunteer
Here, I'll show you. Go to the next problem.
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volunteer
All right, so you see how it's -4 -4 X cubed minus 2.
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student
-4
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student
It's positive 4
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volunteer
You notice how there's a degree of 4 and 3.
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volunteer
Yes, but you see how it's 4 and 3 and 2?
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student
Yeah.
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volunteer
So that means it's going to be neither, because
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volunteer
if it's even then every exponent would be even.
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volunteer
Correct.
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student
Mm.
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volunteer
Does that make sense?
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student
Oh yeah, but it's a mix of both.
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volunteer
And then if it's odd every exponent would be odd.
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volunteer
But because that has both, it would be neither.
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volunteer
And so look at this one. If it's negative 4 and 6.
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volunteer
Yup, see
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volunteer
Um, what are the options it gives you?
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student
I click the options, I think you can't see it on his face. I'm gonna say.
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volunteer
Yeah, I can't see your options.
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student
The first one is 23, and 4.
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volunteer
Mhm
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student
And the second one is
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student
first differences in Y are constant second differences in white or across 3 differences in right across it.
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student
4th differences in y are constant.
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volunteer
OK. So the function must be a degree of degree blank because over equal length x intervals.
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volunteer
I'm gonna be real, don't know this.
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student
Let me see this
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student
OK
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volunteer
So I will, I'm gonna be right back. I'm gonna use the bathroom. Well, you figured that out because I have no clue.
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student
It is negative 15.
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student
and 18.
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student
minus
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student
27
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student
I it is 2
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student
1565.
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student
47 minus 222.
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student
-175.
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student
222-591.
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student
469.
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student
1
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volunteer
Hello, I'm sorry about that.
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student
Yeah, it's OK
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volunteer
I, uh, still have no clue what's happened though. So, did you figure it out?
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student
OK, I looked at the example, kind of makes sense.
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volunteer
All right.
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volunteer
Yeah
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student
So I'm just trying to get out and I'm gonna see if I got it.
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student
It's, it's OK
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volunteer
OK, good. Sorry, I can't help you with this one, or I, I just
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volunteer
never learned it
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student
Yeah, it's fine
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student
65
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