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Home > CALC > Chapter 1 > Lesson 1.3.3 > Problem 1-126


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

  1. Domain is the set of values that 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 domain and range respectively.

    Regarding the piecewise function:
    Notice that the left piece is a transformation of  while the right 
    piece appears to be .
    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.