Which statement best compares the graphs of f of x is equal to lfloor x rfloor and f of x is equal to lceil x rceil ?

For a noninteger x, the ceiling is one greater than the floor, so the ceiling graph is one step above the floor graph between integers. The floor graph includes the left endpoint of each step and excludes the right; the ceiling graph excludes the left endpoint and includes the right. Therefore, the open and closed circles are reversed, as stated in choice D.

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