Let the function be given by g(x)= 2x

MATHEMATICS · Subjective · CBSE · Mathematics · Continuity and Differentiability · Continuity and Differentiability

Problem

Let the function

g:[-1,2]\to\mathbb{R}

be given by

g(x)=\lfloor2x\rfloor.

Determine the set of all points in

[-1,2]

at which

g

is continuous. Also list every point in

[-1,2]

where

g

is discontinuous and state the type of each discontinuity.