Originally Posted by Red X

For this one you have to know how range is defined. Is this function defined for all real numbers? If so, then it is discontinuous when x >= -1.

Similarly, this would be discontinuous outside the range if you are dealing with real numbers. So whenever x<-1.

In all cases, if x was limited by the definition in the right way(say x could only take on values >-1) then the function in problem #2 could never be discontinuous.