Which one of the following is true? Fo...

Which one of the following is true?
For the real function, `f(x) = {{:(x + 2 ", if" x le 1),(x - 2 ", if" x gt 1):}`

A

f is continuous at all real number `xgt1` and `xlt1`

B

f is continuous at all real numbers `x ge1`

C

f is continuous at all real numbers `x le1`

D

f is countinuous at `x=1`.

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