# PLS EXPLAIN GREATEST INT FUCTION AND HOW TO DRAW GRAPH OF IT IN DETAIL.ALSO, PLS DRAW THE GRAPH OF f={(x,x2/1+x2):x belongs toR} FROM R TO R.

Jitender Singh IIT Delhi
askIITians Faculty 158 Points
8 years ago
Ans:
$f(x) = [x]$
[ ]represent greatest integer function.
[ 2.3 ] = 2
[ -3.4 ] = -4
$[x] = 0, 0\leq x< 1$
$= 1, 1\leq x< 2$
$= 2, 2\leq x< 3$
Just like that for all the intervals b/w two consecutive integers. You can draw the graph easily now.
Thanks & Regards
Jitender Singh
IIT Delhi