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8
student
only like this
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student
which is like
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volunteer
oh I see
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student
yk
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volunteer
you mean they will give the graph and you will find the range and domain
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volunteer
right?
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student
ye
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volunteer
alright
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volunteer
I got it
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student
ok
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volunteer
what is domain and range of this graph?
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student
the domain is
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student
-3<x<orequalto 1
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student
or
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volunteer
you can type >=, I understand it
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student
(-3,1]
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student
okk
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volunteer
correctttt
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student
the range is
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student
-4<=y<=0
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student
or
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student
[-4,0]
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volunteer
that's right
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volunteer
do you know about union symbol and intersect symbol?
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student
nope
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volunteer
I have showed the union symbol
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volunteer
are you familiar with it?
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student
no
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volunteer
alright
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volunteer
what is the domain and range of this graph? If you don't know, it is ok
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student
but
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student
i get the main idea
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student
wait which graph
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student
lemme see
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student
the domain is going to be
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student
-infinity <x<infinity for both
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student
and the range
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student
i cant tell because their maxximums and miniums are difficult to see
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volunteer
actually, the domain is every real number exceipt 1
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student
why
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volunteer
and the range is every real number exceipt the interval (0.75, 3.75)
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volunteer
because the line wont ever touch the red line (which is 1)
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volunteer
I mean the function
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volunteer
and it won't ever go inside that Y interval
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student
um
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volunteer
for example
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volunteer
can you use desmos?
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student
ye
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volunteer
alright
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volunteer
type in this function: y = 1/x
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student
done
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volunteer
it never touch the zero in both x axis and y axis
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volunteer
right?
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student
yea
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volunteer
if you think it touches, zoom in
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volunteer
it always have distance from the axis line
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student
yh
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volunteer
why is it? Because we can not divide any number by zero. Also, No number divide from 1 to get zero
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volunteer
do you know why we can not divide any number by zero?
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student
because you will get undefined/divide by 0 error
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volunteer
can you prove it?
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volunteer
prove why it is undefine?
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student
oh
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student
if u have 2 people
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student
and 0 cookies
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student
they cannot get 0 cookies
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student
because there just arent any
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volunteer
so in that case, no people get cooky
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student
so yes they would get 0 cookies but mathematically
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student
yes
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volunteer
I will prove it by math calculation
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volunteer
before, when we put a negative value under square root. It is undefined
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volunteer
However, thanks to mathematicians, they invented a definition of the imaginary number number
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volunteer
which is expressed by letter i
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student
yea
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volunteer
so i^2 = -1
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volunteer
and square root of -1 is i
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volunteer
but we haven't invented a new definition for the value that make that equation true
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volunteer
so we still called it undefined
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volunteer
maybe in the future. Someone smart enough that can invent a new definition, we can change the way we call it
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student
Hi
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student
Sorry abt my lag
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volunteer
do you have any other concern
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student
Am I good at this
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volunteer
yes, I think
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volunteer
you should select confident next time lol
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student
Hmm?
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volunteer
the question John asks you before the session
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[ { "pii_type": "PERSON", "surrogate": "John", "start": 13, "end": 17 } ]
student
Ohh
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student
Ok
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volunteer
do you have any other concern?
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volunteer
or I will end the session here?
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student
Sophia
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[ { "pii_type": "PERSON", "surrogate": "Sophia", "start": 0, "end": 6 } ]
student
Hi
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student
hi
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volunteer
Hi! How's it going?
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student
ok
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volunteer
What can I help you with?
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volunteer
For local maximums, you are trying to find all the points where the graph switches from increasing to decreasing and makes a ^ shape
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volunteer
for local minimums, you are trying to find all the points where the graph switches from decreasing to increasing and makes a V shape
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