Mathematics

Problem

Which standard function has a graph made up of horizontal line segments of length one unit that jump upward by one unit at every integer value of

x

? a) Ceiling (least–integer) function

\lceil x \rceil

b) Signum function

\operatorname{sgn}(x)

c) Greatest–integer (floor) function

\lfloor x \rfloor

d) Fractional–part function

\{x\}