Answer
See graph and explanations.
Work Step by Step
Use the definition of the Greatest Value function (also called the floor function), we can graph $y=\lfloor x\rfloor$ (red) and then shift it left 1 unit (blue) to get $f(x)=\lfloor x+1\rfloor$ as shown in the figure. (each line segment should have a solid dot at the left endpoint and an open circle at the right endpoint)