A step-shaped graph consists of horizontal segments of length unit each

MATHEMATICS · Single correct · AoPS · Mathematics · Special Functions · Special Functions

Problem

A step-shaped graph consists of horizontal segments of length

1

unit each, the segment over the interval

[n,n+1)

has height equal to the integer

n

for every integer

n

. Which rule generates this graph? (a)

y=\lceil x \rceil

(b)

y=\{x\}

(c)

y=\lfloor x \rfloor

(d)

y=\lceil x \rceil-1