1. Collins Type 2 (Turned in) Describe when and why you would use the vertical-line test and the horizontal-line test.

2. SAT Problem of the Day

3. 2.6.1 Special Functions 2.6.1 Special Functions Objectives: Write, graph, and apply piecewise functions

4. Piecewise Functions A piecewise function consists of different function rules for different parts of the domain.

5. Example 1 Graph the following function: 1 21 345 2 3 5 4 6 6 xy 0 6 6 0 2 2 6 4 6 4 4 6

6. Example 2 Graph the following function:

7. Practice Graph the following function:

8. Practice Write the equations for the function shown.

9. Example 3 Write the equations for the function shown.

10. Homework Read Lesson 2.6 in Textbook Do Exercises 17-27 Odd

11. Warm-Up Graph the piecewise function: 4 minutes

12. 2.6.2 Special Functions 2.6.2 Special Functions Objectives: Write, graph, and apply step and absolute-value functions

13. Step Functions A step function is a piecewise function that consists of different constant range values for different intervals of the domain of the function. 1 -2-3 2 -3 -2 3 1 3 2 Rounding-down function 1 -2-3 2 -3 -2 3 1 3 2 Rounding-up function Greatest integer function

14. Example 1 Graph the following function:

15. Practice Graph the step function:

16. Absolute-Value Functions The absolute-value function, denoted by can be defined as a piecewise function as follows:

17. Example 1 Graph the following function:

18. Practice Graph the following function:

19. Practice Graph the following function:

20. Collins Type 2 Is the inverse of y = |x| a function? Explain.

21. Homework Page 130 #52-60