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OpenStudy (anonymous):
@Michele_Laino
OpenStudy (welshfella):
the domain will be all values of x except the value which makes the denominator of the fraction ( x +1) = 0.
OpenStudy (welshfella):
what values is that?
OpenStudy (anonymous):
0
OpenStudy (welshfella):
no - what value of x makes x+ 1 = 0?
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OpenStudy (anonymous):
-1
OpenStudy (welshfella):
right
OpenStudy (anonymous):
ok
OpenStudy (welshfella):
\[{x \in R : x =\neq -1}\]
OpenStudy (anonymous):
thats the answer ?
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OpenStudy (welshfella):
thats the domain
OpenStudy (anonymous):
okay how do we find the range
OpenStudy (welshfella):
well the value of the function cannot be - 8 so its all real values of y except -8
OpenStudy (anonymous):
so 8?
OpenStudy (welshfella):
No ALL real numbers but not -8
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OpenStudy (anonymous):
thats the range all real numbers?
OpenStudy (welshfella):
its written similar to the domain but put y instead of x and not equal -8 instead of not eqqqualto -1
OpenStudy (anonymous):
-8 doesnt equal -1
OpenStudy (welshfella):
you do not follow me
look at my 5th post
OpenStudy (anonymous):
so the domain is also the range?
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OpenStudy (welshfella):
no
write y instead of x and -8 instead of -1 and youy have the range
OpenStudy (anonymous):
y= -1
OpenStudy (welshfella):
\[y \in R: y \neq-8\]
OpenStudy (anonymous):
oh okay
OpenStudy (anonymous):
how do we do asymptotes
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OpenStudy (welshfella):
what value of x gives no value for y?
OpenStudy (welshfella):
we determined this already
OpenStudy (anonymous):
-1 and -8
OpenStudy (welshfella):
no just x = 1
thats the asymptote
OpenStudy (anonymous):
ohh
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OpenStudy (anonymous):
the x intercept is -8 and y is -1
OpenStudy (welshfella):
to find the y intercept just replace the x in the function by 0 and work out the value of y
to find the x intercepts just replace the y by 0 and solve for x
that is solve 10 / (x +1) - 8 = 0
OpenStudy (welshfella):
so to find y-intercept you need to calculate
10
----- - 8
0 + 1
OpenStudy (anonymous):
x = 1/4
OpenStudy (welshfella):
thats correct for x-intercept
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OpenStudy (anonymous):
ok and Y?
OpenStudy (welshfella):
now find the y -intercept
OpenStudy (welshfella):
- i showed you in my post
OpenStudy (welshfella):
x = -1 is the asymptote - i said x = 1 which was wrong
OpenStudy (welshfella):
y intercept is 10 / (0+ 1) - 8
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OpenStudy (welshfella):
gotta go right now
OpenStudy (anonymous):
how do you graph it?? ?
OpenStudy (anonymous):
@Michele_Laino i need help im graphing it
OpenStudy (michele_laino):
we can use the graphic calculator
OpenStudy (anonymous):
what do i put in
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OpenStudy (anonymous):
numbers 1 and 2?
OpenStudy (michele_laino):
please, enter this information:
\[y = \left[ {10/\left( {x + 1} \right)} \right] - 8\]
as I wrote
OpenStudy (anonymous):
okay i did
OpenStudy (anonymous):
is that it
OpenStudy (michele_laino):
please post the graph you got
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OpenStudy (anonymous):
OpenStudy (anonymous):
thats right?
OpenStudy (michele_laino):
please wait....
OpenStudy (anonymous):
ok
OpenStudy (michele_laino):
I got this:
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OpenStudy (michele_laino):
please note the formula which I wrote is different from the one you wrote
OpenStudy (anonymous):
i guess ok is that it
OpenStudy (michele_laino):
similarly for second function, please try to enter this formula:
\[y = \left[ {2/\left( {x + 6} \right)} \right] - 1\]
in the same way as I wrote