Find all points of discountinity

Question

X+2;x<=1

X-2;1<x<2

0;x>=2

Answer 1

The only possible points of discontinuity (observe proper spelling!) are at 1 and 2, where the definition of the function changes from one piece to the next.

 

Find the limit as x approaches 1 from the left & from the right; are these values identical? If not, this is a discontinuity.

Now find the limit as x approaches 2 from the left & from the right; are these values equal? If not, another discontinuity.

 

I think you can now answer this question yourself, using the appropriate piece limits.