Mathematics

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

y=\{x\}

y=\lfloor x \rfloor

y=\lceil x \rceil-1