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Let f (x) be defined as follows: f(x)=...

Let f (x) be defined as follows:
`f(x)={{:(2x+1,-3ltxlt-2),(x-1,-2lexlt0),(x+2,0lexlt1):}`
Which one of the following statements is correct in respect of the above function.

A

If is discontinuous at `x=-2` but continuous at every other point

B

It is continuous only in the interval `(-3,-2)`

C

It is discontinuous at `x=0` but continuous at every other point

D

It is discontinuous at every point

Text Solution

Verified by Experts

The correct Answer is:
C
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