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volunteer
I just drew a purple dot at approximately (1, -3 1/7)
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student
but isnt -2 the y intercept
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volunteer
yes
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volunteer
is my dot on the y-axis?
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student
kinda of yes
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volunteer
no
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volunteer
my dot is at x=1
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student
oh
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volunteer
and I drew a closed circle because x<=1
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student
yea
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volunteer
and I just added a small dot on the y-intercept
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student
yea i see
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volunteer
y=-8/7 x -2 is a line that goes through those points
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volunteer
but we only draw it to the left of the big dot because that equation only applies to x<=1
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student
oh becasue the x is from including 1 and up
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volunteer
1 and down
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student
oh becasue its -8/7
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volunteer
I just graphed half of the function
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volunteer
the other half is for x>1
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volunteer
that will start with an open circle because of > instead of >=
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student
yea
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volunteer
and the open circle will be at some point where x=1
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volunteer
f(x) for x>1 is 3/7 x + 15/7
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student
at 3/7?
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volunteer
we need to find that at x=1
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volunteer
x=1 is the endpoint again, but open circle instead of closed
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volunteer
how much is 3/7 times 1 plus 15/7 ?
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student
12/7
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student
-12/7
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volunteer
both are wrong
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volunteer
3/7+15/7
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student
18/7
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volunteer
which is 2 4/7, which is about 2.5
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volunteer
I drew and open circle at around (1, 2 4/7)
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student
yea i see it
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volunteer
what is the y-intercept for this equation
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volunteer
?
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student
15/7
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volunteer
yes, which is just barely above 2
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volunteer
but this one is only for x>1
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student
huh
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student
we need to find it for eerything else too?
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volunteer
you left out the x>1 part, remember?
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volunteer
first we found it for x<=1, then we found it for x>1
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volunteer
that covers everything
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student
so now we have to find x>1
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volunteer
green line going to the right from the open circle at x=1
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student
ok
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volunteer
we are done graphing
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student
ok
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student
now we can find domain and range
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volunteer
domain
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volunteer
have we covered all possible real number values of x?
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volunteer
from -infinity to infinity?
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student
the domain is from (-oo, 1] U (1, oo)
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volunteer
No
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volunteer
you don't need to break it up
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volunteer
x can be 1
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volunteer
there is no gap there
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student
when do i do break it up?
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volunteer
when there is a gap
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volunteer
like x<=1 and x>2
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volunteer
then there is a gap between 1 and 2
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student
ohhh so because both is on x=1 theres no need to break it up
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volunteer
right
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volunteer
range
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volunteer
what's the smallest value of y you see?
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student
-3 1/7
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volunteer
yes
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volunteer
just looking at the left pointing line, can y have all possible values >=-3 1/7 ?
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student
yes
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volunteer
range is [-3 1/7, infinity]
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volunteer
oope
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volunteer
StudentA
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[ { "pii_type": "PERSON", "surrogate": "StudentA", "start": 0, "end": 8 } ]
volunteer
oops
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volunteer
infinity)
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volunteer
done
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volunteer
do you understand it, now?
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student
yes i do
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volunteer
great!
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volunteer
I've got to go, now.
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student
ok bye
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volunteer
bye
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student
bye
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volunteer
Hello, how can I help you
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student
I need help solving a math question
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volunteer
Whats the problem
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student
A scale on a hiking map shows that 3 inches represents 1.25 miles, what number of inches on the map represent 10 actual miles
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volunteer
So 3in = 1.25 and ?in=10 miles
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volunteer
Correct?
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student
Yes
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volunteer
Okay first we need to find out how many miles is in one inch
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volunteer
Do you know how to do that
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student
Do we divide?
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volunteer
Correct!!
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volunteer
Which numbers though because we're given 3 different numbers
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student
Maybe 3 and 1.25?
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volunteer
Exactly! So go ahead and divide 3/1.25
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volunteer
1.25/3 is what I meant!
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student
0.416
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