Let f(x) be defined as follows: \({\rm{f}}\left( {\rm{x}} \right) = \left\{ {\begin{array}{*{20}{c}} {2{\rm{x}} + 1,{\rm{\;\;}} - 3 < {\rm{x}} < - 2}\\ {{\rm{x}} - 1,{\rm{\;\;}} - 2 \le {\rm{x}} < 0}\\ {{\rm{x}} + 2,{\rm{\;\;\;}}0 \le {\rm{x}} < 1} \end{array}} \right.\) Which one of the following statements is correct in respect of the above function?

It is discontinuous at every point

It is discontinuous at x = -2 but continuous at every other point.

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

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

Let f(x) be defined as follows: \({\rm{f}}\left( {\rm{x}} \right) = \l

1.	Let f(x) be defined as follows: \({\rm{f}}\left( {\rm{x}} \right) = \left\{ {\begin{array}{*{20}{c}} {2{\rm{x}} + 1,{\rm{\;\;}} - 3 < {\rm{x}} < - 2}\\ {{\rm{x}} - 1,{\rm{\;\;}} - 2 \le {\rm{x}} < 0}\\ {{\rm{x}} + 2,{\rm{\;\;\;}}0 \le {\rm{x}} < 1} \end{array}} \right.\) Which one of the following statements is correct in respect of the above function?
A.	It 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
Answer» D. It is discontinuous at every point

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