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NationalTutoringObservatory
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MathEd-PII

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student
the graph where the circum.
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volunteer
So I'm I'm asking you to interpret. I'm asking you to interpret what the graph means now.
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student
OK.
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student
OK
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volunteer
You're, you're trying to remember what we're trying to do? You're making
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student
6.5, 5.
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volunteer
um
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student
Yeah
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volunteer
hold on a sec. um
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volunteer
you're trying to maximize the.
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student
Actually, I think it made kind of a mistake with
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student
108
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volunteer
No, there's no mistake. I think we got it. I just want you to understand what you did.
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student
2 divided by 24.
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student
6.7
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student
No
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volunteer
Now, you see the graph.
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student
Oh wait
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student
wait, 6.6.7.
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student
6.75. 0 yeah, 108. I was right. I, I mean one.
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student
I probably wrote this 1 1.68 but then I thought the 6 was a 00 my god, I guess.
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student
up.
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volunteer
A uh Uh *****, I got a
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[ { "pii_type": "NRP", "surrogate": "Uh", "start": 5, "end": 7 } ]
student
Yeah
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volunteer
I gotta go here. I just, my last thing was uh
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student
Thank you so much for this though.
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volunteer
um, listen, if you look at the graph, you see how the, the graph is at its maximum at what when X is equal to 2.54.
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student
Yeah
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volunteer
So when, when X, when you make a fold in the box of access 2.254 inches.
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student
Oh, she, she.
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volunteer
You, you're actually maximizing the volume of the box.
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volunteer
OK
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student
Oh, OK. Oh, OK. Thank you so much for this and for
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volunteer
OK. All right. Have a good day. Have a good day.
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volunteer
Bye-bye
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student
Thank you. Have a good day too. OK. Bye-bye.
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volunteer
Hello How are you?
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student
I am doing fine, thanks
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volunteer
How can I help?
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student
I need help with unit 1.5 Of precalc sort of confused
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volunteer
I do no tknow th eunit numbers but I can help
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student
Alright, the unit is polynomials
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volunteer
OK
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student
could I send you a photo? would that help?
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volunteer
Do u have specifci questions?
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volunteer
Yes
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student
How do I do that
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volunteer
OK You should see an icon that
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volunteer
looks like a mountain and a sun with an up arrow
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student
Ah got it, thanks
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volunteer
ok
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volunteer
OK I see
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volunteer
it
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student
Great!
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volunteer
I will copy to 2nd sreen pls wait
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student
got it
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volunteer
OK What questions can I hep with?
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student
1)a
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volunteer
OK
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student
I just dont undertand the concept
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student
understand
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volunteer
do u know the deifntions for even odd and "none"?
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volunteer
for Alex
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[ { "pii_type": "PERSON", "surrogate": "Alex", "start": 4, "end": 8 } ]
student
Yeah if f(-x)=-f(x) it is odd if it f(-x)=f(x) it is even I forgot how to input that
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volunteer
OK good
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volunteer
Now look at 1 a)
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volunteer
if you replace x by -x then what happens?
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student
you would multiply it by the fourth power and it would become even?
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student
sorry
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student
postive
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volunteer
OK yes
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volunteer
let us nack up
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volunteer
1 a) has only even powers do u agree?
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student
Yeah, because when you input the negative the outcome is positive?
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volunteer
Yes
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volunteer
for example 3^2 = 9 and so does (-3)^2
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student
Yeah
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volunteer
And that works for all the terms in 1 a) I guess we could write the 5 as 5*x^0
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volunteer
OK?
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student
yes
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volunteer
Also IF you grpah the function
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volunteer
it whould have a "mirror image" across the y axis
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student
Oh. That makes sense
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volunteer
Now in 1 b)
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volunteer
the powers 3 and 1 are odd BUT I think the -1 means we have "none"
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volunteer
or "neither"
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student
well why would it be none
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volunteer
OK I will check but here is what I think
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volunteer
for x^3 id we change to -x we change the sign do u garee?
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volunteer
if*
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student
yes
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volunteer
and for x^1 also but I htink we can think of the -1 as -1*x^0
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volunteer
and that does not change see what I mean?
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student
Oh yeah I can sort of undertand that
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volunteer
OK good
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volunteer
do you use Sarah and/or a habdheld cacluator gor grpahing?
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[ { "pii_type": "PERSON", "surrogate": "Sarah", "start": 11, "end": 16 } ]
volunteer
handheld*
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student
I dont have a graphing calc, I do have demos tho
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volunteer
OK well after we are done try grpahing 1b) and then remove the -1 and grpah it agian
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volunteer
I have onle 15 more minutes,
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