When f(x)=[[x]] is the greatest integer function, what is the range of f(x)=x-[[x]]?
I cannot seem to graph this? and I am not exactly sure what the greatest integer function is?

Question

When f(x)=[[x]] is the greatest integer function, what is the range of f(x)=x-[[x]]?
I cannot seem to graph this? and I am not exactly sure what the greatest integer function is?

ikram002p · Answer

f(x)=x-[[x]] 
[[x]]  is an integer 
x is rational i suppose 
thus [[x]]  would express the decimals hmm
lets see which decimals

ikram002p · Answer

wait sorry f(x) would be decimals sorry

anonymous · Answer

http://www.wolframalpha.com/input/?i=x-Floor%5Bx%5D

ikram002p · Answer

i think it would be 
-1>=f(x)=x-[[x]] >=0

since
x<[[x]]

anonymous · Answer

I just figured out how to graph it on my calculator and it made the range very clear. But thank you all for being willing to help!

anonymous · Answer

i give you hint
let x=1.6
[x]=1
x-[x]=0.6
if x=1
[x]=1
x-[x]=0|dw:1415905669833:dw|