Draw the graph of the step funcation f (x) = [ x ].

Explanation

As the definition of the funcation suggests,
`f(x)=[{:(-2, " when ", x,in"["-3","-2"]"),( -1, " when ", x, in "["-2","-1"]"),( 0, " when ", x, in "["-1","0"]"),( 1, " when ", x, in "]"1","2"]"),( 2, " when ", x, in "]"0","1"]"),(3, " when ",x, in "]"2","3"]"),( ,"and so on ",,):}`
plotting these points, we can get the required graph. the function jumps at the points (-2,-1) , (-1,00 ,(0,1) , (1,2) etc. or is discontiuous at each intergral value of x.