Learning Resources

Investigation 7: Piecewise Functions

Answers

1. The hole in the graph indicates that the point (0, 2) is not included. This is because the domain for that particular part of the function is restricted to
   x > 0. The function f(x) = -x + 2 is not defined when x = 0.
2. The graph is discontinuous. Notice that the discontinuity occurs at the point separating the two intervals.
3. 
4. The second piece of the function is not defined for x = 0, indicating that the point (0, 3) is not included on the graph. However, the point (0, 3) is included in the graph of the first part of the piecewise function. Thus, the graph will not contain a hole.
5. The graph is continuous.

Complete the Investigation Questions, paying particular attention to the "Note" in the margin of the page