Mathematics
8 Online
OpenStudy (anonymous):
lim x>4- ([[x]]-7)
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OpenStudy (anonymous):
\[\lim_{x \rightarrow 4-} ([[x]] -7)\]
OpenStudy (anonymous):
greatest integer function, it will be a horizontal line from (3<=x<4)
OpenStudy (anonymous):
yea i have seen graphs of these functions
OpenStudy (anonymous):
looks sorta like steps
OpenStudy (anonymous):
yes
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OpenStudy (anonymous):
but i have no idea how to graph one myself
OpenStudy (anonymous):
i am assuming if I graphed this I could see the limit
OpenStudy (anonymous):
which according to the book is 8
OpenStudy (anonymous):
You're approaching x=4 from the left, correct?
OpenStudy (anonymous):
they need a grapher on this site
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OpenStudy (anonymous):
yes from the left
OpenStudy (anonymous):
If you're approaching 4 from the left, [[x]] will be 3
OpenStudy (anonymous):
so how to i determine the points i need to plot on [[x]]-7
OpenStudy (anonymous):
you have to take into account the -7
OpenStudy (anonymous):
yes, so -4 overall
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OpenStudy (anonymous):
It's just the graph of f(x)=[[x]] shifted down 7 units
OpenStudy (anonymous):
well the book says 8 so .... >.<
OpenStudy (anonymous):
oh i know why
OpenStudy (anonymous):
i missed a 5 lol
OpenStudy (anonymous):
5[[x]]-7
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OpenStudy (anonymous):
so to graph this
OpenStudy (anonymous):
yes, so 5(3)-7=8
OpenStudy (anonymous):
If you were approaching from the right, [[x]] would be 4
OpenStudy (anonymous):
yes i understnad that
OpenStudy (anonymous):
so you don't know how to graph the greatest integer function?
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OpenStudy (anonymous):
nope i dont
OpenStudy (anonymous):
i know what they look like
OpenStudy (anonymous):
but not how to graph one given an equation
OpenStudy (anonymous):
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