1. Objective: Identify intervals on which functions increase, decrease or is constant. Locate relative maxima or minima. Use piecewise functions. Warm up 1.Determine the domain and range of the function. Find F(- 3). a. b.

2. Example 1 a.Describe increasing, decreasing, or constant intervals. b.What is the absolute maximum? When does it occur?

4. Example 2 State the intervals in which the function is increasing, decreasing or constant. a. b.

6. Example 3 Use the graph to find: a.Relative maxima. b.Relative minima. c.Domain d.Absolute maximum. e.Absolute minimum.

7. Summary A function is neither increasing nor decreasing at a point. Parenthesis are used when describing these intervals. Always look at graph from left to right. To describe increasing, decreasing or constant intervals use x-values. For max or min look at y-values.

8. Assignment Pg 172 #1-16; 33 (a-k)

9. Piecewise functions Example 4 A cellular phone company offers the following plan: $20 per month buys 60 minutes. Additional time costs $0.40 per minute. a. Write a piecewise function for the total monthly cost (C) as a function of the number of minutes ( t). b. Graph C (t).

10. c.Find and interpret. C (30) C (100)

11. Example 5 Graph the piecewise functions. Evaluate f(-2). a. b.

12. Classwork Pg 172 # 1-16;33(a-k), 34 (a-k), 35,36,38,41,47,48,52,82-88,95-98