Mathematics
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OpenStudy (anonymous):
Screen Shot attached =)
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OpenStudy (anonymous):
OpenStudy (anonymous):
what is the smallest x value that defines the function?
OpenStudy (anonymous):
1
OpenStudy (anonymous):
oops -3
OpenStudy (anonymous):
how about the largest?
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OpenStudy (anonymous):
1
OpenStudy (anonymous):
try again
OpenStudy (anonymous):
9?
OpenStudy (anonymous):
look at the last equation. What does it say?
OpenStudy (anonymous):
anything greater than 1?
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OpenStudy (anonymous):
so what does that tell you about the domain?
OpenStudy (anonymous):
x≥-3 and x>1 ?
OpenStudy (anonymous):
[-3, infinity)
OpenStudy (anonymous):
oooh ok
OpenStudy (anonymous):
did you try b?
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OpenStudy (anonymous):
no..idk what to do...
OpenStudy (anonymous):
it's asking for both x and y intercepts (if exist). So, are there any x-intercepts?
OpenStudy (anonymous):
yes?
OpenStudy (anonymous):
how would you check?
OpenStudy (anonymous):
making it y=x+4 then solving for x which is x=-4?
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OpenStudy (anonymous):
ok, x = -4, but is -4 in the domain?
OpenStudy (anonymous):
no..
OpenStudy (anonymous):
so is (-4,0) the x intercept?
OpenStudy (anonymous):
no
OpenStudy (anonymous):
ok, check the next one
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OpenStudy (anonymous):
x=9, yes (9,0)
OpenStudy (anonymous):
how did you get (9,0) ?
OpenStudy (anonymous):
i dont know...9 is the x-intercept right?
OpenStudy (anonymous):
@sourwing
OpenStudy (anonymous):
so you plug 9 in for x, you get y = 0? is true for at least one of the three equations?
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OpenStudy (anonymous):
...im confused =(
OpenStudy (anonymous):
when x = 9, what do you get?
OpenStudy (anonymous):
13 and -6
OpenStudy (anonymous):
so is f(9) = 0?
OpenStudy (anonymous):
no
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OpenStudy (anonymous):
so is (9,0) the x-intercept?
OpenStudy (anonymous):
no
OpenStudy (anonymous):
good,
check the last one.
OpenStudy (anonymous):
-(3)+3=0
OpenStudy (anonymous):
good, so is (3,0) x-intercept?
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OpenStudy (anonymous):
yes
OpenStudy (anonymous):
good. (3,0) is the x-intercept
what about y-intercept?
OpenStudy (anonymous):
4, 9, and 3
OpenStudy (anonymous):
when x = 0, what is y?
OpenStudy (anonymous):
which one do you plug 0 in?
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OpenStudy (anonymous):
first one?
OpenStudy (anonymous):
that's only when -3 <= x < 1, is 0 in this interval?
OpenStudy (anonymous):
yes?
OpenStudy (anonymous):
good, so whats's y?
OpenStudy (anonymous):
(0,4)?
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OpenStudy (anonymous):
right
OpenStudy (anonymous):
(3,0) is the x-intercept
(0,4) is the y-intercept
that's the answer to part b
OpenStudy (anonymous):
ok =)
OpenStudy (anonymous):
@sourwing how in the world do i graph it? it doesnt match the graphs im given..
OpenStudy (anonymous):
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OpenStudy (anonymous):
second one
OpenStudy (anonymous):
oh ok lol
OpenStudy (anonymous):
thanks =)