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ChrisV Group TitleBest ResponseYou've already chosen the best response.0
\[\lim_{x \rightarrow 4} ([[x]] 7)\]
 2 years ago

rickjbr Group TitleBest ResponseYou've already chosen the best response.1
greatest integer function, it will be a horizontal line from (3<=x<4)
 2 years ago

ChrisV Group TitleBest ResponseYou've already chosen the best response.0
yea i have seen graphs of these functions
 2 years ago

ChrisV Group TitleBest ResponseYou've already chosen the best response.0
looks sorta like steps
 2 years ago

ChrisV Group TitleBest ResponseYou've already chosen the best response.0
but i have no idea how to graph one myself
 2 years ago

ChrisV Group TitleBest ResponseYou've already chosen the best response.0
i am assuming if I graphed this I could see the limit
 2 years ago

ChrisV Group TitleBest ResponseYou've already chosen the best response.0
which according to the book is 8
 2 years ago

rickjbr Group TitleBest ResponseYou've already chosen the best response.1
You're approaching x=4 from the left, correct?
 2 years ago

ChrisV Group TitleBest ResponseYou've already chosen the best response.0
they need a grapher on this site
 2 years ago

ChrisV Group TitleBest ResponseYou've already chosen the best response.0
yes from the left
 2 years ago

rickjbr Group TitleBest ResponseYou've already chosen the best response.1
If you're approaching 4 from the left, [[x]] will be 3
 2 years ago

ChrisV Group TitleBest ResponseYou've already chosen the best response.0
so how to i determine the points i need to plot on [[x]]7
 2 years ago

ChrisV Group TitleBest ResponseYou've already chosen the best response.0
you have to take into account the 7
 2 years ago

rickjbr Group TitleBest ResponseYou've already chosen the best response.1
yes, so 4 overall
 2 years ago

rickjbr Group TitleBest ResponseYou've already chosen the best response.1
It's just the graph of f(x)=[[x]] shifted down 7 units
 2 years ago

ChrisV Group TitleBest ResponseYou've already chosen the best response.0
well the book says 8 so .... >.<
 2 years ago

ChrisV Group TitleBest ResponseYou've already chosen the best response.0
oh i know why
 2 years ago

ChrisV Group TitleBest ResponseYou've already chosen the best response.0
i missed a 5 lol
 2 years ago

ChrisV Group TitleBest ResponseYou've already chosen the best response.0
so to graph this
 2 years ago

rickjbr Group TitleBest ResponseYou've already chosen the best response.1
yes, so 5(3)7=8
 2 years ago

rickjbr Group TitleBest ResponseYou've already chosen the best response.1
If you were approaching from the right, [[x]] would be 4
 2 years ago

ChrisV Group TitleBest ResponseYou've already chosen the best response.0
yes i understnad that
 2 years ago

rickjbr Group TitleBest ResponseYou've already chosen the best response.1
so you don't know how to graph the greatest integer function?
 2 years ago

ChrisV Group TitleBest ResponseYou've already chosen the best response.0
i know what they look like
 2 years ago

ChrisV Group TitleBest ResponseYou've already chosen the best response.0
but not how to graph one given an equation
 2 years ago

rickjbr Group TitleBest ResponseYou've already chosen the best response.1
dw:1329178784965:dw
 2 years ago

rickjbr Group TitleBest ResponseYou've already chosen the best response.1
that is f(x)=[[x]]
 2 years ago

ChrisV Group TitleBest ResponseYou've already chosen the best response.0
yea how do i know to start at 0 and stop 1
 2 years ago

ChrisV Group TitleBest ResponseYou've already chosen the best response.0
then start at 1,2 and stop at 2,1
 2 years ago

rickjbr Group TitleBest ResponseYou've already chosen the best response.1
greatest integer function definition, [[x]] is the greatest integer less than or equal to x
 2 years ago

rickjbr Group TitleBest ResponseYou've already chosen the best response.1
f(x)=[[x]] f(3.999999999999999999999)=3 f(3)=3 f(4)=4
 2 years ago

ChrisV Group TitleBest ResponseYou've already chosen the best response.0
so by definition if x=1 then [[x]] is x>= 1
 2 years ago

rickjbr Group TitleBest ResponseYou've already chosen the best response.1
if x=1, [[x]]=1
 2 years ago

rickjbr Group TitleBest ResponseYou've already chosen the best response.1
Just think of it as going down the steps instead of up...you'll start as close as you can to [[x]]+1 and end up at [[x]]
 2 years ago

rickjbr Group TitleBest ResponseYou've already chosen the best response.1
but you're not actually starting at [[x]] + 1
 2 years ago

rickjbr Group TitleBest ResponseYou've already chosen the best response.1
so an open circle
 2 years ago

rickjbr Group TitleBest ResponseYou've already chosen the best response.1
it is defined at all integers, but not continuous at any integer
 2 years ago

ChrisV Group TitleBest ResponseYou've already chosen the best response.0
so if I were doing 5[[4]]7 i would plot from (4,13) t0 (5,13) with an open point at (5,13)?
 2 years ago

rickjbr Group TitleBest ResponseYou've already chosen the best response.1
yes, open circle at (5,13), closed at (4,13)
 2 years ago

ChrisV Group TitleBest ResponseYou've already chosen the best response.0
and if it happened to be [[x]] i would just reflect
 2 years ago

rickjbr Group TitleBest ResponseYou've already chosen the best response.1
across the y axis, yes
 2 years ago
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