Which standard function has a graph made up of horizontal line segments of length one…

MATHEMATICS · Single correct · CBSE · Mathematics · Relations and Functions · Relations and Functions

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)

\lfloor x \rfloor

(d) Fractional–part function

\{x\}