Answer:
(-infinity,-1)U(-1,infinity)
Explanation:
plug in the number where the piecewise function changes which is -1 and 1
(-1)^2-(-1)-2 =0
(-1)=-1
These aren't equal so the function is discontinuous at x = -1 because of a jump
(1) = 1
-2(1) + 3 = 1
These are equal so the function is continuous at x = 1
So from negative infinity to -1 the function is continuous and from -1 to infinity
(-infinity,-1)U(-1,infinity)