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Identify the domain and range of each of the functions below. Then write a possible piecewise-defined function for each graph.

  1. Domain is the set of values that x can be, while range is the set of values that can be.

    Regarding the piecewise function:
    Each piece has its own domain; be careful about open or closed intervals. Notice that both pieces are linear.

  1. Notice that this graph has both a vertical and a horizontal asymptote, which may affect the domainand range respectively.

    Regarding the piecewise function:

    Note that there is a gap between the two functions. So the boundary point on the left will be different from the boundary point on the right