Question

draw the graph of f(x)=x+[x], [.] denotes greatest integer function.

Answer 1

`" "f(x)= x+ [x]= {{:(......,, ),(......,, ),(x-2",",,x in [-2","-1)),(x-1",",,x in [-1","0)), (x",",,x in [0","1)), (x+1",",,x in [1","2)), (x+2",",,x in [2","3)), (......,, ), (......,, ):}`
The given of the function is as shown in the following figure.