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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. Homework Help ✎

  1. Graph with a straight line undefined at both ends going from (-1, 1) to (1, -2). Another straight line goes from (1, 1) to (2, 2). Both ends are defined.

    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. A piecewise graph where the function in quadrant II starts with an undefined point at (-1, 2) increasing gradually going to the left.  The other part of the function look like the graph of y= 1/x in Quadrant I.

    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