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NationalTutoringObservatory
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MathEd-PII

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student
I need help with a homework assignment
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volunteer
please put it up
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student
Im supposed to find the perimeter of quadrilateral ABCD
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volunteer
ok
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student
so would I find the perimeter of what I traced on the board?
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volunteer
Yes
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volunteer
let's do that
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volunteer
do you want to give a try to find the length of AB first?
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student
sure
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student
10 units
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volunteer
good
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volunteer
so you don't really need help
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student
I will solve the problem and then at the end can you check if I am correct?
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volunteer
sure
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student
If I get my answer as a long decimal I should round it to the thousandth place right?
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volunteer
that would be fine. not sure about the question's requirement
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student
so 27.484 units?
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volunteer
let's say
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volunteer
let's see
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volunteer
yes!
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volunteer
you got it
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volunteer
any other problem?
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student
can you stay on the line in case I have any more questions while I am working through this assignment?
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volunteer
sure.
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student
I have to go do something. Can you stay on the line and I will come back when I am done?
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volunteer
yes
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volunteer
I will work on another screen
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student
ok. I will let you know once I am back
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volunteer
sure
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student
I'm back
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student
I have to go do something. Can you stay on the line and I will come back when I am done?
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student
you here?
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student
I'm going to go now. Stay on the line and I will let you know once I am back
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volunteer
back now
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volunteer
sorry I have to drop now
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volunteer
bye
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volunteer
I am back
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volunteer
Please let me know when you are back
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volunteer
Hello!
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volunteer
How can I help you?
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student
Hello!
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student
I'm working on an assignment that has domain and range
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volunteer
Okay. That is great!
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student
I'm not understanding it and I honestly really couldn't tell you how to find either domain or range via function
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volunteer
Okay. Do you want help defining what is domain and range or applying it to a specific function?
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volunteer
Or both?
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student
My assignment is asking for specifying the domain and range depending on the function given
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volunteer
Okay. What type of function?
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volunteer
Radical, linear, cubic, etc
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student
Radical, I'm pretty sure
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student
M=3√n and n≥0, that's one of the functions
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volunteer
Well, the function already gives you the domain.
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volunteer
Do you see it?
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student
No
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volunteer
Okay. I can help with that.
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volunteer
I will draw a quick graph.
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volunteer
This is called a radical function.
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volunteer
It is any function with a root 2.
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volunteer
Does that look familiar at all?
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student
Nope
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volunteer
Its okay. We can work towards it.
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volunteer
What do you know about domain?
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student
I know that it means x, that it's between the highest and the lowest point on a graph
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volunteer
Yes. It consists of all the possible x-values of a function. I will draw that on the graph. Remember x=input.
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volunteer
The domain is all the possible x-values for a function.
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volunteer
n is your input.
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volunteer
However, there are two ways you can think about the domain. 1). look at the graph (you can search radical graph in the future): you can see where the function is over the x-axis 2). look at the question: this question already specifies what n includes--n is greater than or equal to 0
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volunteer
Is that starting to make sense?
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student
A little bit
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volunteer
Where is it unclear?
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student
I'm not sure how to piece what I see together
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volunteer
M=output (mostly called y), n=input (mostly called x)
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volunteer
Okay. I got it!
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student
I set up the equation as M=3√n≥0
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student
But I'm not sure what I did, what to do with it, or what it means
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volunteer
Oh. n is greater than or equal to 0 is NOT a part of your function.
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volunteer
That is a separate entity I believe
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student
So you don't plug in the variables
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volunteer
the function is only M=nroot3
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volunteer
The domain is n is greater than or equal to 0
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volunteer
There should be a comma between them on your question. You don't plug in the variables. You only use it as what n can be.
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student
So everything on the x axis is greater than 0
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volunteer
For this function, yes.
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student
Let me write out the question
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volunteer
All included variables are greater than or equal to 0.
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volunteer
on the x-axis
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student
Yes, so what would the range be
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volunteer
Well, the lowest x- value you can plug in is 0. Right?
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student
Yes, because it's anything greater than or equal to it
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volunteer
Yes. Great work1
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volunteer
And there is no way to make 3 root n negative. Right?
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student
No, because roots can't be negative
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volunteer
Yes. Great.
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volunteer
0 times 3 is 0, so M can be equal to 0. But it is never negative.
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volunteer
And if you look on the graph, the y axis goes up forever.
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volunteer
So the range should be M is greater than or equal to 0.
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volunteer
Does that seem correct?
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student
Why wouldn't the range be all real numbers
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volunteer
Because it cant't be negative.
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volunteer
Can you make n root 3 (which is equal to M) negative?
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