Let . Which one of the following correctly describes all its points of…

MATHEMATICS · Single correct · A Level · Mathematics · Algebra and Functions · Algebra and Functions

Problem

Let

g(x)=\lfloor x-1.2 \rfloor

. Which one of the following correctly describes all its points of discontinuity? (a) It is discontinuous at every

x=n

, where

n\in\mathbb{Z}

. (b) It is discontinuous at every

x=n+1.2

, where

n\in\mathbb{Z}

. (c) It is discontinuous only at

x=1.2

. (d) It is discontinuous at every

x=n+1

, where

n\in\mathbb{Z}