How do i find a domain to a piecewise function?

You can find the domain of a piecewise function from the union of all the piece intervals. join all the intervals together (and also consider the domains of the individual pieces).consider the following example:     the domain is the union of the intervals        with the union being the interval that contains all the values from both intervals. it joins both intervals together.from the first interval, it says that the domain contains all the values from -3 inclusive to 2 exclusive.from the second interval, it says that the domain also contains all the values from 2 inclusive to 5 inclusive. note that the 2 inclusive makes up for the gap from the previous interval.thus all the values from -3 inclusive to 5 inclusive are in the union, which is the domain.    ======consider the following example:     the domain is the union of the intervals  which is  ======consider the following example:     the domain of this is all real numbers, i.e.    the piece  is is only undefined at x = 0, otherwise it is defined for all real numbers. the piecewise definition fixes this undefined point by defining a value at x = 0.======consider the following example:     the domain of this is      ======consider the following example:     note that although the piece  is for  , the piece itself is undefined at  (division by zero), so that's another domain restriction to consider.domain is