We define the floor function [[x]] to be the greatest integer not exceeding x. For example[[4]]=4
[[2.37]]=2
[[-1]]=1[[-1.2]]-2
Sketch by hand the graph y=[[x]] by first tabulating the values pf [[1]] for several numbers x. Then compare your graph with the plot from a graphing calculator. What are the discontinuities of f(x)=[[x]] where the domain of x is -2.3,=x,=1.5? Are these removable discontinuities? At the number x where f(x) is not continuous is f(x) continuous from the right? Is f(x) continuous from the left?