Question

Write the points of discontinuity for the function f(x) = [x], -3 <x<3.​

Answer 1

Answer:

if -3<x<3

so, x=-2,-1,0,1,2

therefore f(x)=[x]

f(-2,-1,0,1,2)=[-2,-1,0,1,2]

Answer 2

Tip:

Point of discontinuity refers to the point at which a mathematical function is no longer continuous.

Step

Step 1 of 1:

Let $f(x)=[x]$    , $-3<x<3$

$x=-2,-1,0,1,2$

$f(-2)=[-2]=-2\\\\f(-1)=[-1]=-1\\\\f(0)=[0]=0\\\\f(1)=[1]=1\\\\f(2)=[2]=2$

Therefore, $f(x)=[x]$    , $-3<x<3$, then in integers $\{-2,-1,0,1,2\}$ , the function will be discontinuous.