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Good day students. In this part we are going to go over the second example
on how to graph
prying into a crime a graph air
separate given punkin
on the 10th repeatedly to be but emitted by a critical point the potential place
that inflection
productivity generates ninety where mannitol
crying for a few AT&T for exterior with pete King County
getting the answers in part be different branches increasing decreasing rate had
a 16 yr
been carried here pointer election impaneling it is get people through
grant
up to function so or
the think their whole I'm function you're going to be considering this is
number two
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wrestler alright terrorist their
I am answering right ABC's find all the people points and potential
are possible points up infection Xterra
by planing any in a critical point
critical going
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in April 20 or does not exist
in the know where can be there it'd make this is really have
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already spent nearly here he said is that it is willing to work in foreign
did you
dysfunction city do that through right here
functionary confronted why equals re
X 24 minus eighty exited
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take square with 12x
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drinking well I think this year's arrest because they're kicking a soccer ball NY
prime
is equal 0 barrier say let's go ahead and do that the united to solve this
minute so deeply into a lesson
third minus on training in 20
extended aired minus 24
X where with 12x waiting is the default 0
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in this case is were
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actually hear
okay left like it so a season 1
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a 1981 sense that could be seen here is one that can go directly into the fact
that for
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okay failed to find a critical point who dis
that the fact is 20 12x before the room
or eight minutes for equal 0 year with the average here second is still wanted
them
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critic who winks are
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important to you why UK
alright and then down
we're too also point in our our
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so before we start looking for their I guess need to make a rough week for my
here we're looking for a critical point three people were
there it isn't what is your non existent an AP tally that
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in and out weird NY primary
its never on because the rarity and
always exist in this function is banking did not have any
cross-currents pretty quick and then score
this continuity so why Brian be non-existent
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right-thinking attention to the second part are
West here for a which is to find the potential
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work in the street and I'm said by the pool
possible pointed question possible
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could be more one or more a question
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is the what's new 0 appease the world wide open
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out because here the possible pointer question
rights era let him mister by writing down the original function
why is equal to you you re X 24
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that's why right pretty read it here
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way to frame it 36 X where
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right let's go ahead and do that then they have 36
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you know anything have you here well silly contract at Outback right
well in real athlete react where
minus Forex with one
because they're okay to respect against you in the eighth game
sorry he is gonna go and power and be willing to buy
and thanks for a few 3 be
recanted for well what works here the regular one
green still May 28: 3
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want people there I'll
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not to react -1 current X -1
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well person be a problem its native pride
or developmental ok but with thanks by whenever well
notify developments well sent recreating the movie but I don't mix well
so we left with down
3x -1 current experience for me.
10 you know either zero product property
career my next morning 40 any
my next morning for their own without Google damn
gonna have exit polls one-third first
with the critical point in a crippled want but it's a completely
possible critical I'm sorry up like a reflection
right that possible morning
question morning I'll inflection
are X equals
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think thing people using
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parents grew up in CT instructions our own
issue for every occasion Garrigus thinking
where Ryan injectable prime alright Farrell
I'm going in tomorrow we don't have any restrictions are going here
so Leader Harry Kewell's into our second year in a row
cell did
might burst when you make sure I
graphics I did it correctly okay
service to the arrow they
that my first nine first number line we have
Howell I calibrate did
denominator and because the denominator that the fractional
results here so they don't know bacterial had you know neither
three today only to go away reader a is more them I have a zero
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think get getting a cell year the I want their
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problem kids ethnical into no settle
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in a minute but they weren't there here is really a plan here so
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integral to you into about three
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as gere about a week yes I'll
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it easier and more in: I remember you think the problem here
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actually forced you all right to be the numbers are used to determine the Senate
prime bonus into parking so let's go ahead and compute damn
an attractive is sorry are
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and prime X years
12x third minus 24 X
where with 12 x9 happy really good to write down what
you the only cute cuddly actually functions want to create you want to
make sure you substituting it into the right
function okay so since you're looking for the senate there cramming is going
to be imprinted our
test values into you did you know for security where
right there with that at first candidate which is it intervale
internally pp Canada -1 let's try
exit polling people wanted to see what this thing is OK to bring down a grant
for Apple
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times -1 prepared -24 trading it wants where
well think it'd work I care about his
sign a case that's what is starting to get the United sign it's less profitable
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anything negative well your own eighty sooner the answer
is going to be in negative answers and it spreads in a while
the senate and crime is negative okay
knitted alright get it taken in the morning to remember to you
we using XD phones were here
alright that'd be great and from where that going in the
well hines when here good third
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what happened if there is one a sale near while Rick a
minus I'll have great point for
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simplify yet island is twenty countries
are last on 12
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a cracking on it conan LCD second easily compare them okay still
how does this compare the final be right back
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thinks who for -24
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their
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I really think they look forward to isn't about politics
we have a property sign for a prime trying to remember to you
recitation treated well re
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books you the substitute I'm sorry trying
a field trip with friends here right there ever-present you still
on its going to do that well points few to the third power
my age 24 times you square
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number 24 so this is also
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a have a crack think it was going to rain and thunder
prime I'm going to you are I'm identical
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let's go ahead and go there Iranian people number and I'm
the same calibration when an interval I'm going to be different
okay 30c0 and this is why our
candice is one their own one
so for a possible pointing and clicking when looking at one in one parent still
where there is right here impaired
thank you aired in and this is why K
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this is for this rain I'll
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exit polls when her in the hamper see you
years actually costs you
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the function are you doing it in your computer is ready
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me so I can check the forerunner through them
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to get into about the so that's going to do the accent for it
see X people few
through looking for apt that will prime to you
which is 36 times few square
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reference 36 he 144
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fairly easy part series of right so here
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okay so you know it parody creating re-sign chart
now I'm we can now go ahead
in advance to artsy which involves
describing the behavior Africa through it the care
go back or imports ECU different European
include Catherine Catherine perdona si with increasing decreasing
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I see in Eterna
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let's go ahead and write it down
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from 0 to word your urine 190
right it is decreasing
in decreasing order first year it is Nick hid
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determine when texting are unit raise your kid Cassidy switching is from
decreasing to increasing
to be going down anything going up is extremely is going to be
a minimum right sits in the near
and and they are not extremists who guess what this is the
only minimum there there in inter-domain at this from shared
is also our absolutely no there look for an absolute minimum confident about that
so what we have in the heavy local
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mean act X equal
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the any local an absolute me all right after he took this point he is keep
going up after that
know they're all the extreme it that we have use only one
it's an extreme now we got it look at the
happen cavity certain lubricant unitary concavity we need to look at
the second a rarity in all right said look a second unit where every
positive his country are in it may get his gun
in is going down it is priority at the Skokie up in here
alright so nephew tell if the intervals
apparent here I am so can't have it he
on perking up
that is complete are from I'm
again are brown naked infinity
all the way teen well third
I'm Union
why only to infinity okay
in and it can keep down frankly you know
from see where the country down from one
third all week why that's a risk ranking
alright cell my complexion
written by tonight at points where no
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from up/down already thinking nudity cheese compartment a negative okay
we have to obtain in his problem to hear
pointer election election
and it also here yeltsin have another when complexion
rights are pointer working are act X equals one parent and wants appointed
inflection
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okay alright so on one keeping you want it
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to critical points only one extreme a
located actually that know every critical point is that next year
in his keys we had a critical point out one greater Dayton exterior
in case you have to be careful about that but thanks to get help with the
tiny
everything K alright
not heard either going to sketch the graph all rights this is getting crap
about this
thank you very these two tables in st. tell me everything they need to know in
order to sketch the graph writers go ahead in Kaminey
competing together striking am
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there I think there'll
and its peace at the center is simply going to be there behavior
behavior I'll the function air
okay in it interval right here bravura
from regulatory T 20 I am
it's going to be decreasing that's what in
I'm prime using force against the says going to be
be the way right by a friend told me it's going to be decreasing
any couldn't have a different downstairs you know is going to be decreasing
in print paper and it into no I know that it's going to be
increasing condensed milk and bread in the interval
is priority then they act like everything is still coming hey
up okay I'll in a
interloper want their communities is one pair of the week one
interests probably cases into the increasing
in any country cavity and apparently given anybody else is going to be
increasingly
County down in a lap in early spring 13
unity on at private property which means it is going to be increasing
if the program is pretty down it is going to be cocky
okay said absolutely crazy generate head back writer it's going
there
so I'm gonna is calibrate my ex tax issues in the
waited many overlying so here
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for 0
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when their to third
and then one thinking citizen the x-axis
game I Y axis now is to
guarantee shipment point taken quickly discern that
what may y-intercept these I think this is the records you know where a nurse at
is one saying that I think that is going to intersect the wax is that wants a
let's call this
wine right here why issue
theory the not going to grab the more cuter get you be said I see
goes through their are a still from the graph we know that
I'm want is a
well worthwhile only had to look cool
minimum at one selling 20 decreasing
incomplete now think I'll keep only 20
to decrease in income he got his knees getting the senate but it can be
carrying
reason operates and can hang
act evidence that mean a great sis
increase in income people all the week he went there
so peacemaking is increasing curricular only 2 1/3
innocent I think he's one third you're still
increasing right by the *** Kapiti change the country downward
all the way to work said all the way to one
he hasn't United vs thank you karen is still increasing
book every hit one this is what I hear
concavity changes again and we have appointed infection
exit polls were now can give up any still increasing
okay self-contained up increasing something like that
so this is basically what home to skip the graph looks like you can clearly see
that
these is I'm is the their local
absolutely it's a great label their that he sees our local
local Aaron absolutes meeting
right in this point right here we take a cab in teaching is I want their
that he is 8.7 fraction pinpointing
are inflection
alright cell that yeah I think they're going indicate
connect beasts with the result his hat along with the
he's there in like here's to get confused so
from this intervale from here to here get something going on
you hear something when ur your yes im gonna
in here here here at something then it's the weekend
connects and the graph
with with the results K sale and isn't about right here
its decreasing and cranky up
that's what it looks like going down and carry case operates
furnace interlocutors you're too impaired
its I'm doing increasing
and its concave upscale
alright in the air param when paired were
it still increasingly concavity change the country gal
in atlanta interpol from why I upwards
its increasing many concurrent he's changed again to ***
right in and be the cleaning industry to the connection between
I'm the graph and the resulting up in this from the same table
okay so hopefully that helps you and get there I mean just the whole process
character with me this is be this is the graph
the deeper
thanks so much for taking the time to wake his presentation appropriate
subscribe to my channel by clicking here and he's been to comment to let me know
what you think about it but
her and directed the union's appreciate it into british here
with your friends K market's current prime minister said that process
calculus
thinking in 20