1. Special Functions Objective: Write and graph piecewise and absolute value functions.

2. Piecewise Functions A truck driver earns $21.00 per hour for the first 40 hours worked in one week. The driver earns time- and-a-half, or $31.50, for each hour worked in excess of 40. The pair of function rules below represent the drivers wage, w(h), as a function of the hours worked in one week, h.

3. Example 1

5. Try This Graph:

6. Try This Graph: -2x + 1 x y -2 5 1 -1

7. Try This Graph:

8. Try This Graph: x – 4 x y 1 -3 5 1

9. Try This Graph:

10. Try This

14. Writing Equations Write the piecewise function represented by the graph below.

15. Writing Equations Write the piecewise function represented by the graph below.

16. Writing Equations Write the piecewise function represented by the graph below.

17. Writing Equations Write the piecewise function represented by the graph below.

18. Absolute Value The absolute value function, denoted by f(x) = |x|, can be defined as a piecewise function as follows:

19. Absolute Value The absolute value function, denoted by f(x) = |x|, can be defined as a piecewise function as follows:

20. Example 4

26. Homework Page 129 17-27 odd 58, 59