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

1-126.

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

Domain is the set of values that

can be, while range is the set of values thatcan be.Regarding the piecewise function:

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

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 ofwhile 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.