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

1-126.

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

a.

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

b.

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