Plot of greatest integer fuction

[sam92]

I was given this homework today and without much explanation from the teacher , I can't find anything similar in my book,
1.- [[ x]] = [[y]] find outside domain/range , argue inclusion or exclusion
2.- compare and contrast (1) y=[[2x]] (2) y=2[[x]] (3) y= [[x/2]]
3.- state domain and range, plot
y { ( 1/4)x+1 , x<-1 ; [[ x]]-2 , -1 <= x<=5 ; (-1/2 ) x +1 ,5<x}

could someone help me, I usually understand math without any problem, but now I have little clue.
thanks

 

[Diffy]

For number 1 can you make a sinple x y chart for your equation? Try something like

x | y
-2
-1.75
-1.5
-1.25
-1
...
2

Try the same method for number 2

Try the same method for number 3 as well but broaden the range of values you try for x in order to cover all the possibilities.

Do you know what domain and range is? Do you know what inclusion and exclusion means?